> #ATTENDANCE QUIZ FOR LECTURE 21 ; > #THE NUMBER OF ATTENDANCE QUESTIONS WERE: 3i = 5 is the smallest i for which it is NOT in the OEIS ; > ; > #Q1 ; > #How many connected graphs are there with 30 vertices and 50 edges? ; > #L:= WtEdConGclever(30, a) > #coeff(L[30], a, 50) > #616531513027177775473601317524937092680978914590598004251998471840 ; > ; > #Q2 ; > # How many labelled connected graphs are there with 30 vertices and 50 edges? ; > ; > #L:= WtEdConGclever(30, a) > #coeff(L[30], a, 50) = > #616531513027177775473601317524937092680978914590598004251998471840 ; > ; > #Q3 ; > #For i=2,3,4,5.... Find the OEIS A-Number (if it exists) or NuKcomp(20,i), what is the smallest i for which it is NOT in the OEIS? ; > ; > #NuKcomp(20, 2) = [0, 1, 3, 19, 230, 5098, 207536, 15891372, 2343580752, 675458276144,383306076989440, 430041136692146912,956431386434331323776,4224539434553753578497024, 37106501188130085159785113344,648740172906485727983524271405824, 22591360806791558877526051411343415296,1567817808096346724727108606144936617617408,216926754380646324945248257231539109504762560512,59860937747979290094875740320161640032623120090828800] ; > #A323875 ; > ; > #NuKcomp(20,3) = [0, 0, 1, 6, 55, 825, 20818, 925036, 76321756, 12143833740, 3786364993664,2323363153263768, 2810644049356050752, 6714880790313869814368,31734660624638397560681792, 297106568651256947892439231872,5516820501457062391874183605225216, 203371936690880564729559424288326233856,14896201998273652941883043518617399703696384,2169416538066466491819023076937523996727138210304] > #A323876 ; > ; > #NuKcomp(20,4) = > #[0, 0, 0, 1, 10, 125, 2275, 64673, 3102204, 272277040, 46202044900,15442093276764, 10171924771814520, 13188852179018387144,33674263441006260931040, 169522275849148918884400912,1685048703908907788901122512512, 33116110237646373502366665503208064,1288337109916947580133035603563656989952,99320901948403913391024993536094346775110656] ; > #A323877 ; > ; > #NuKcomp(20,5) = ; > #[0, 0, 0, 0, 1, 15, 245, 5320, 169113, 8692845, 803632060, 144006917010,51190235706324, 35973349034458836, 49733014749298407800,135098732052853350832960, 721623817888224485383613072,7589231274657209868572623947024, 157373724998165331860030332231216576,6443260493678153802385273326576384600800] ; > ; > #NOT IN THE OEIS ; > ; > #i = 5 is the smallest i for NOT in the OEIS ;