The first, 120, terms of the sequence [expctation,standard deviation] for the\
     Dym-Luks game with r balls and r cells are

[[1., 0.], [2., 1.414213562], [2.250000000, 1.060660172], [2.488888889, .972375\
6492], [2.665321265, .9155075842], [2.799230040, .8828373720], [2.906491523, .8\
607667392], [2.996492250, .8425947855], [3.074151245, .8257361182], [3.14221335\
6, .8095280659], [3.202458711, .7939827121], [3.256189733, .7792790243], [3.304\
425644, .7655819702], [3.347993465, .7529893624], [3.387577042, .7415286704], [
3.423746849, .7311711279], [3.456980619, .7218490966], [3.487679156, .713471431\
8], [3.516179106, .7059354420], [3.542763529, .6991355217], [3.567670711, .6929\
689996], [3.591101543, .6873398250], [3.613225691, .6821606591], [3.634186751,
.6773538295], [3.654106559, .6728515105], [3.673088774, .6685953955], [3.691221\
880, .6645360663], [3.708581669, .6606321908], [3.725233327, .6568496545], [3.7\
41233150, .6531606834], [3.756629992, .6495430028], [3.771466452, .6459790542],
[3.785779876, .6424552857], [3.799603182, .6389615157], [3.812965551, .63549037\
23], [3.825893001, .6320368075], [3.838408866, .6285976742], [3.850534195, .625\
1713649], [3.862288083, .6217575055], [3.873687955, .6183566945], [3.884749792,
.6149702836], [3.895488327, .6116001958], [3.905917211, .6082487732], [3.916049\
146, .6049186491], [3.925896004, .6016126469], [3.935468921, .5983336950], [3.9\
44778379, .5950847582], [3.953834277, .5918687831], [3.962645989, .5886886536],
[3.971222415, .5855471590], [3.979572022, .5824469663], [3.987702883, .57939060\
03], [3.995622708, .5763804314], [4.003338871, .5734186645], [4.010858436, .570\
5073324], [4.018188176, .5676482940], [4.025334592, .5648432336], [4.032303930,
.5620936609], [4.039102194, .5594009154], [4.045735163, .5567661694], [4.052208\
398, .5541904329], [4.058527254, .5516745602], [4.064696895, .5492192549], [4.0\
70722293, .5468250769], [4.076608246, .5444924499], [4.082359380, .5422216668],
[4.087980157, .5400128984], [4.093474883, .5378661992], [4.098847713, .53578151\
40], [4.104102658, .5337586865], [4.109243589, .5317974641], [4.114274244, .529\
8975046], [4.119198231, .5280583842], [4.124019034, .5262796012], [4.128740017,
.5245605832], [4.133364431, .5229006938], [4.137895412, .5212992359], [4.142335\
992, .5197554571], [4.146689097, .5182685567], [4.150957553, .5168376894], [4.1\
55144093, .5154619679], [4.159251353, .5141404707], [4.163281881, .5128722440],
[4.167238138, .5116563052], [4.171122501, .5104916486], [4.174937267, .50937724\
63], [4.178684654, .5083120546], [4.182366805, .5072950132], [4.185985790, .506\
3250520], [4.189543608, .5054010908], [4.193042193, .5045220438], [4.196483409,
.5036868212], [4.199869061, .5028943311], [4.203200890, .5021434820], [4.206480\
580, .5014331849], [4.209709754, .5007623546], [4.212889985, .5001299120], [4.2\
16022790, .4995347842], [4.219109635, .4989759080], [4.222151935, .4984522294],
[4.225151060, .4979627058], [4.228108332, .4975063063], [4.231025028, .49708201\
33], [4.233902382, .4966888229], [4.236741586, .4963257454], [4.239543792, .495\
9918077], [4.242310114, .4956860516], [4.245041627, .4954075356], [4.247739370,
.4951553352], [4.250404347, .4949285433], [4.253037528, .4947262701], [4.255639\
851, .4945476439], [4.258212222, .4943918118], [4.260755515, .4942579378], [4.2\
63270577, .4941452054], [4.265758224, .4940528160], [4.268219246, .4939799895],
[4.270654407, .4939259651], [4.273064443, .4938899991], [4.275450068, .49387136\
76]]


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