All the growth constants of Compositions that add up to at most, 11



                              By Shalsoh B. Ekhad



In this article we will list all the growth constants, in ascending order, o\
    f the enumnerating sequences

     avoding, by containment, the compsoitions that sum-up to less than, 11



     for readabiltiy, we will get rid of the commas when the parts are <=9

The growth constants, for compositions of , 2, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                     2, 1.

                -----------------------------------------------

The growth constants, for compositions of , 3, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                     12, 1

                            3, 1.6180339887498948482

                -----------------------------------------------

The growth constants, for compositions of , 4, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                     112, 1

                           13, 1.6180339887498948482

                           22, 1.7548776662466927601

                            4, 1.8392867552141611326

                -----------------------------------------------

The growth constants, for compositions of , 5, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                    1112, 1

                           113, 1.6180339887498948482

                           212, 1.7548776662466927601

                           14, 1.8392867552141611326

                           23, 1.8667603991738620930

                            5, 1.9275619754829253043

                -----------------------------------------------

The growth constants, for compositions of , 6, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                    11112, 1

                          1113, 1.6180339887498948482

                          2112, 1.7548776662466927601

                           114, 1.8392867552141611326

                           213, 1.8667603991738620930

                           222, 1.9087907387871591034

                           15, 1.9275619754829253043

                           24, 1.9331849818995204468

                           33, 1.9417130342786384772

                            6, 1.9659482366454853372

                -----------------------------------------------

The growth constants, for compositions of , 7, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                   111112, 1

                          11113, 1.6180339887498948482

                          21112, 1.7548776662466927601

                          1114, 1.8392867552141611326

                          2113, 1.8667603991738620930

                          2122, 1.8908049048980778372

                          1222, 1.9087907387871591034

                           115, 1.9275619754829253043

                           214, 1.9331849818995204468

                           313, 1.9417130342786384772

                           223, 1.9454365275632690792

                           16, 1.9659482366454853372

                           25, 1.9671682128139660358

                           34, 1.9693144732632464526

                            7, 1.9835828434243263304

                -----------------------------------------------

The growth constants, for compositions of , 8, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                   211112, 1

                         111113, 1.6180339887498948482

                         112112, 1.7548776662466927601

                          11114, 1.8392867552141611326

                          21113, 1.8667603991738620930

                          12122, 1.8908049048980778372

                          21122, 1.8923110706522823122

                          21212, 1.9087907387871591034

                          1115, 1.9275619754829253043

                          2114, 1.9331849818995204468

                          2123, 1.9407101328380924652

                          3113, 1.9417130342786384772

                          1223, 1.9454365275632690792

                          2222, 1.9611865309023902347

                           116, 1.9659482366454853372

                           215, 1.9671682128139660358

                           314, 1.9693144732632464526

                           224, 1.9703230372932668084

                           323, 1.9717270001741243154

                           233, 1.9735704833094816886

                           17, 1.9835828434243263304

                           26, 1.9838613961621262283

                           35, 1.9843858253440954550

                           44, 1.9853288885629234253

                            8, 1.9919641966050350211

                -----------------------------------------------

The growth constants, for compositions of , 9, in ascending order (where we o\
    nly show one representative for equivalent compositions) are

                                   2111112, 1

                         1111113, 1.6180339887498948482

                         1121112, 1.7548776662466927601

                         111114, 1.8392867552141611326

                         211113, 1.8667603991738620930

                         112122, 1.8908049048980778372

                         211212, 1.8922218871524161071

                         211122, 1.8922578866301683686

                         121122, 1.8923110706522823122

                         121212, 1.9087907387871591034

                          11115, 1.9275619754829253043

                          21114, 1.9331849818995204468

                          12123, 1.9407101328380924652

                          21123, 1.9409751179367153000

                          31113, 1.9417130342786384772

                          21213, 1.9454365275632690792

                          21222, 1.9515637714286765859

                          22122, 1.9527971478516900544

                          12222, 1.9611865309023902347

                          1116, 1.9659482366454853372

                          2115, 1.9671682128139660358

                          2124, 1.9691817825046685829

                          3114, 1.9693144732632464526

                          1224, 1.9703230372932668084

                          2133, 1.9706560177668563263

                          2313, 1.9708395870474530685

                          3123, 1.9708817901785482789

                          1323, 1.9717270001741243154

                          1233, 1.9735704833094816886

                          2223, 1.9756564557792322769

                           117, 1.9835828434243263304

                           216, 1.9838613961621262283

                           315, 1.9843858253440954550

                           225, 1.9846407398915826487

                           324, 1.9850654703526320630

                           414, 1.9853288885629234253

                           234, 1.9855529777414181545

                           333, 1.9874108030247649893

                           18, 1.9919641966050350211

                           27, 1.9920300868462484222

                           36, 1.9921580953553798820

                           45, 1.9924010004614550874

                            9, 1.9960311797354145898

                -----------------------------------------------



The growth constants, for compositions of , 10, in ascending order (where we \
    only show one represenative for equivalent compositions) are

                          2, 1, 1, 1, 1, 1, 1, 2, :, 1

                1, 1, 1, 1, 1, 1, 1, 3, :, 1.6180339887498948482

                1, 1, 1, 1, 2, 1, 1, 2, :, 1.7548776662466927601

                 1, 1, 1, 1, 1, 1, 4, :, 1.8392867552141611326

                 2, 1, 1, 1, 1, 1, 3, :, 1.8667603991738620930

                 2, 1, 1, 1, 2, 1, 2, :, 1.8908049048980778372

                 1, 2, 1, 1, 2, 1, 2, :, 1.8922218871524161071

                 2, 1, 1, 1, 1, 2, 2, :, 1.8922512945970379670

                 1, 2, 1, 1, 1, 2, 2, :, 1.8922578866301683686

                 1, 1, 2, 1, 1, 2, 2, :, 1.8923110706522823122

                 2, 1, 1, 2, 1, 1, 2, :, 1.9087907387871591034

                   1, 1, 1, 1, 1, 5, :, 1.9275619754829253043

                   2, 1, 1, 1, 1, 4, :, 1.9331849818995204468

                   1, 1, 2, 1, 2, 3, :, 1.9407101328380924652

                   2, 1, 1, 2, 1, 3, :, 1.9409607910644739216

                   2, 1, 1, 1, 2, 3, :, 1.9409620467295949022

                   1, 2, 1, 1, 2, 3, :, 1.9409751179367153000

                   3, 1, 1, 1, 1, 3, :, 1.9417130342786384772

                   1, 2, 1, 2, 1, 3, :, 1.9454365275632690792

                   2, 1, 1, 2, 2, 2, :, 1.9501414915693502232

                   2, 1, 2, 1, 2, 2, :, 1.9505475001908849807

                   1, 2, 1, 2, 2, 2, :, 1.9515637714286765859

                   1, 2, 2, 1, 2, 2, :, 1.9527971478516900544

                   2, 1, 2, 2, 1, 2, :, 1.9539877574581293211

                   2, 2, 1, 1, 2, 2, :, 1.9543423291595747005

                   1, 1, 2, 2, 2, 2, :, 1.9611865309023902347

                    1, 1, 1, 1, 6, :, 1.9659482366454853372

                    2, 1, 1, 1, 5, :, 1.9671682128139660358

                    1, 2, 1, 2, 4, :, 1.9691817825046685829

                    2, 1, 1, 2, 4, :, 1.9692165211230598361

                    3, 1, 1, 1, 4, :, 1.9693144732632464526

                    2, 1, 2, 1, 4, :, 1.9703230372932668084

                    1, 2, 1, 3, 3, :, 1.9706560177668563263

                    1, 2, 3, 1, 3, :, 1.9708395870474530685

                    1, 3, 1, 2, 3, :, 1.9708817901785482789

                    3, 1, 1, 2, 3, :, 1.9709013528640663101

                    2, 3, 1, 1, 3, :, 1.9709021410209757284

                    2, 1, 1, 3, 3, :, 1.9709232598962379131

                    3, 1, 2, 1, 3, :, 1.9717270001741243154

                    2, 1, 2, 2, 3, :, 1.9728837077631717755

                    2, 2, 1, 2, 3, :, 1.9730623001088685615

                    2, 1, 3, 1, 3, :, 1.9735704833094816886

                    1, 2, 2, 2, 3, :, 1.9756564557792322769

                    2, 2, 2, 2, 2, :, 1.9822984210734063491

                      1, 1, 1, 7, :, 1.9835828434243263304

                      2, 1, 1, 6, :, 1.9838613961621262283

                      2, 1, 2, 5, :, 1.9843693628442243022

                      1, 1, 3, 5, :, 1.9843858253440954550

                      1, 2, 2, 5, :, 1.9846407398915826487

                      2, 1, 3, 4, :, 1.9848029699614000332

                      2, 3, 1, 4, :, 1.9848266528671481993

                      3, 1, 2, 4, :, 1.9848333098768844858

                      1, 3, 2, 4, :, 1.9850654703526320630

                      4, 1, 1, 4, :, 1.9853288885629234253

                      3, 1, 3, 3, :, 1.9855197870868743418

                      1, 2, 3, 4, :, 1.9855529777414181545

                      2, 2, 2, 4, :, 1.9861840427096552271

                      3, 2, 2, 3, :, 1.9864180586156033445

                      2, 3, 2, 3, :, 1.9867708871840811416

                      1, 3, 3, 3, :, 1.9874108030247649893

                      2, 2, 3, 3, :, 1.9875763672979512663

                       1, 1, 8, :, 1.9919641966050350211

                       2, 1, 7, :, 1.9920300868462484222

                       3, 1, 6, :, 1.9921580953553798820

                       2, 2, 6, :, 1.9922212637540336675

                       3, 2, 5, :, 1.9923365951207343993

                       4, 1, 5, :, 1.9924010004614550874

                       2, 3, 5, :, 1.9924602335260952454

                       4, 2, 4, :, 1.9925574403170594250

                       2, 4, 4, :, 1.9928945584015041909

                       3, 3, 4, :, 1.9929967428173323177

                         1, 9, :, 1.9960311797354145898

                         2, 8, :, 1.9960471205602957908

                         3, 7, :, 1.9960785538884684114

                         4, 6, :, 1.9961398080808123357

                         5, 5, :, 1.9962564778474358596

                          10, :, 1.9980294702622866987

                -----------------------------------------------

The growth constants, for compositions of , 11, in ascending order (where we \
    only show one represenative for equivalent compositions) are

                        2, 1, 1, 1, 1, 1, 1, 1, 2, :, 1

              1, 1, 1, 1, 1, 1, 1, 1, 3, :, 1.6180339887498948482

              1, 1, 1, 1, 2, 1, 1, 1, 2, :, 1.7548776662466927601

                1, 1, 1, 1, 1, 1, 1, 4, :, 1.8392867552141611326

                2, 1, 1, 1, 1, 1, 1, 3, :, 1.8667603991738620930

                1, 1, 1, 1, 2, 1, 2, 2, :, 1.8908049048980778372

                1, 1, 2, 1, 1, 2, 1, 2, :, 1.8922218871524161071

                1, 2, 1, 1, 1, 1, 2, 2, :, 1.8922512945970379670

                2, 1, 1, 1, 2, 1, 1, 2, :, 1.8922518991860336041

                2, 1, 1, 1, 1, 2, 1, 2, :, 1.8922528000690536880

                2, 1, 1, 1, 1, 1, 2, 2, :, 1.8922528309802083821

                1, 1, 2, 1, 1, 1, 2, 2, :, 1.8922578866301683686

                1, 1, 1, 2, 1, 1, 2, 2, :, 1.8923110706522823122

                1, 2, 1, 1, 2, 1, 1, 2, :, 1.9087907387871591034

                 1, 1, 1, 1, 1, 1, 5, :, 1.9275619754829253043

                 2, 1, 1, 1, 1, 1, 4, :, 1.9331849818995204468

                 2, 1, 1, 1, 2, 1, 3, :, 1.9407101328380924652

                 1, 2, 1, 1, 2, 1, 3, :, 1.9409607910644739216

                 1, 2, 1, 1, 1, 2, 3, :, 1.9409620467295949022

                 2, 1, 1, 1, 1, 2, 3, :, 1.9409625982604281254

                 1, 1, 2, 1, 1, 2, 3, :, 1.9409751179367153000

                 3, 1, 1, 1, 1, 1, 3, :, 1.9417130342786384772

                 2, 1, 1, 2, 1, 1, 3, :, 1.9454365275632690792

                 2, 1, 2, 1, 1, 2, 2, :, 1.9477379859347001702

                 1, 2, 1, 1, 2, 2, 2, :, 1.9501414915693502232

                 1, 2, 1, 2, 1, 2, 2, :, 1.9505475001908849807

                 2, 1, 1, 2, 2, 1, 2, :, 1.9508047918087946326

                 2, 1, 1, 2, 1, 2, 2, :, 1.9509255859523056402

                 2, 1, 1, 1, 2, 2, 2, :, 1.9509776104110337870

                 1, 1, 2, 1, 2, 2, 2, :, 1.9515637714286765859

                 1, 1, 2, 2, 1, 2, 2, :, 1.9527971478516900544

                 1, 2, 1, 2, 2, 1, 2, :, 1.9539877574581293211

                 2, 2, 1, 1, 1, 2, 2, :, 1.9540477955750550281

                 1, 2, 2, 1, 1, 2, 2, :, 1.9543423291595747005

                 2, 1, 2, 1, 2, 1, 2, :, 1.9611865309023902347

                   1, 1, 1, 1, 1, 6, :, 1.9659482366454853372

                   2, 1, 1, 1, 1, 5, :, 1.9671682128139660358

                   1, 1, 2, 1, 2, 4, :, 1.9691817825046685829

                   2, 1, 1, 2, 1, 4, :, 1.9692154721005411687

                   2, 1, 1, 1, 2, 4, :, 1.9692155105124940738

                   1, 2, 1, 1, 2, 4, :, 1.9692165211230598361

                   3, 1, 1, 1, 1, 4, :, 1.9693144732632464526

                   1, 2, 1, 2, 1, 4, :, 1.9703230372932668084

                   1, 1, 2, 1, 3, 3, :, 1.9706560177668563263

                   1, 1, 2, 3, 1, 3, :, 1.9708395870474530685

                   1, 1, 3, 1, 2, 3, :, 1.9708817901785482789

                   2, 1, 1, 1, 3, 3, :, 1.9708989707458471273

                   2, 1, 1, 3, 1, 3, :, 1.9708998382284750591

                   2, 1, 3, 1, 1, 3, :, 1.9709007145089393364

                   3, 1, 1, 2, 1, 3, :, 1.9709009542936426305

                   2, 3, 1, 1, 1, 3, :, 1.9709009626734116425

                   3, 1, 1, 1, 2, 3, :, 1.9709009731125814947

                   1, 3, 1, 1, 2, 3, :, 1.9709013528640663101

                   1, 2, 3, 1, 1, 3, :, 1.9709021410209757284

                   1, 2, 1, 1, 3, 3, :, 1.9709232598962379131

                   1, 3, 1, 2, 1, 3, :, 1.9717270001741243154

                   2, 1, 1, 2, 2, 3, :, 1.9722303916312138198

                   2, 1, 2, 1, 2, 3, :, 1.9722890711149032674

                   1, 2, 1, 2, 2, 3, :, 1.9728837077631717755

                   1, 2, 2, 1, 2, 3, :, 1.9730623001088685615

                   2, 1, 2, 2, 1, 3, :, 1.9732518278208840732

                   2, 2, 1, 1, 2, 3, :, 1.9733176427978802974

                   1, 2, 1, 3, 1, 3, :, 1.9735704833094816886

                   1, 1, 2, 2, 2, 3, :, 1.9756564557792322769

                   2, 2, 1, 2, 2, 2, :, 1.9767418763905165230

                   2, 1, 2, 2, 2, 2, :, 1.9777388672763279448

                   1, 2, 2, 2, 2, 2, :, 1.9822984210734063491

                    1, 1, 1, 1, 7, :, 1.9835828434243263304

                    2, 1, 1, 1, 6, :, 1.9838613961621262283

                    1, 2, 1, 2, 5, :, 1.9843693628442243022

                    2, 1, 1, 2, 5, :, 1.9843735929169595667

                    3, 1, 1, 1, 5, :, 1.9843858253440954550

                    2, 1, 2, 1, 5, :, 1.9846407398915826487

                    1, 2, 1, 3, 4, :, 1.9848029699614000332

                    1, 2, 3, 1, 4, :, 1.9848266528671481993

                    1, 3, 1, 2, 4, :, 1.9848333098768844858

                    3, 1, 1, 2, 4, :, 1.9848364834968468202

                    2, 3, 1, 1, 4, :, 1.9848365685603433962

                    2, 1, 1, 3, 4, :, 1.9848379974686941994

                    3, 1, 2, 1, 4, :, 1.9850654703526320630

                    4, 1, 1, 1, 4, :, 1.9853288885629234253

                    2, 1, 2, 2, 4, :, 1.9854511328159759794

                    2, 2, 1, 2, 4, :, 1.9854745774373335634

                    1, 3, 1, 3, 3, :, 1.9855197870868743418

                    2, 1, 3, 1, 4, :, 1.9855529777414181545

                    3, 1, 1, 3, 3, :, 1.9855867370356656488

                    2, 3, 2, 1, 3, :, 1.9857357474202322183

                    2, 3, 1, 3, 2, :, 1.9857471718133187357

                    3, 1, 2, 2, 3, :, 1.9857941166181182619

                    3, 2, 1, 2, 3, :, 1.9858119955853443367

                    2, 1, 2, 3, 3, :, 1.9860742815848395179

                    2, 2, 1, 3, 3, :, 1.9861224552005461206

                    2, 1, 3, 2, 3, :, 1.9861658073430549304

                    1, 2, 2, 2, 4, :, 1.9861840427096552271

                    2, 3, 1, 2, 3, :, 1.9862419728012228354

                    1, 3, 2, 2, 3, :, 1.9864180586156033445

                    1, 2, 3, 2, 3, :, 1.9867708871840811416

                    3, 1, 3, 1, 3, :, 1.9874108030247649893

                    1, 2, 2, 3, 3, :, 1.9875763672979512663

                    2, 2, 2, 2, 3, :, 1.9886061388579201131

                      1, 1, 1, 8, :, 1.9919641966050350211

                      2, 1, 1, 7, :, 1.9920300868462484222

                      2, 1, 2, 6, :, 1.9921560813844430632

                      3, 1, 1, 6, :, 1.9921580953553798820

                      1, 2, 2, 6, :, 1.9922212637540336675

                      2, 1, 3, 5, :, 1.9922724816686150822

                      2, 3, 1, 5, :, 1.9922754407306374834

                      3, 1, 2, 5, :, 1.9922763496221285440

                      1, 3, 2, 5, :, 1.9923365951207343993

                      4, 1, 1, 5, :, 1.9924010004614550874

                      1, 2, 3, 5, :, 1.9924602335260952454

                      3, 1, 3, 4, :, 1.9924821471802981535

                      2, 1, 4, 4, :, 1.9924845858931437394

                      2, 4, 1, 4, :, 1.9925033469654892947

                      4, 1, 2, 4, :, 1.9925055196881381482

                      1, 4, 2, 4, :, 1.9925574403170594250

                      2, 2, 2, 5, :, 1.9926323510608188615

                      3, 2, 2, 4, :, 1.9927182322207961399

                      2, 3, 2, 4, :, 1.9928231592906857780

                      1, 2, 4, 4, :, 1.9928945584015041909

                      1, 3, 3, 4, :, 1.9929967428173323177

                      2, 2, 3, 4, :, 1.9930472341714146102

                      3, 2, 3, 3, :, 1.9932083274974506151

                      2, 3, 3, 3, :, 1.9939032013285969905

                       1, 1, 9, :, 1.9960311797354145898

                       2, 1, 8, :, 1.9960471205602957908

                       3, 1, 7, :, 1.9960785538884684114

                       2, 2, 7, :, 1.9960941723035151354

                       3, 2, 6, :, 1.9961240231260926100

                       4, 1, 6, :, 1.9961398080808123357

                       2, 3, 6, :, 1.9961549360237250573

                       4, 2, 5, :, 1.9961823278503027563

                       5, 1, 5, :, 1.9962564778474358596

                       2, 4, 5, :, 1.9962706948062237035

                       3, 3, 5, :, 1.9962987498529624862

                       4, 3, 4, :, 1.9963407202969907739

                       3, 4, 4, :, 1.9965069298886565434

                        1, 10, :, 1.9980294702622866987

                         2, 9, :, 1.9980333801814792843

                         3, 8, :, 1.9980411456640687803

                         4, 7, :, 1.9980564778877500002

                         5, 6, :, 1.9980864005371347462

                          11, :, 1.9990186327101011387

                -----------------------------------------------



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            This ends this article, that took, 2011.816, to create.