来自在线整数百科全书的问候语!http://oei.org/y*显示1~(-1)1(I)A049 314、1 0 1 %、1 0 1 %、1 0 1 %、1 0 1 2 0 5 5 0 1 0 5 5 0 1 0 5 5 0 0 5 5 0 0 5 5 0 0 4 5 2 0 5 5 0 0 0 4 4 2 0 0 6 4 2 0 6 4 4 6 0 4 4 6 0 4 4 2 0 6 4 4 6 0 4 4 0 1 0 1 3 0 0 0 3 3 0 1 0 0 3 3 0 1 0 4 3 1 0 1 0 1 3 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 3 0 1 0 1 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1 0 1 0搜索:ID:A049 314281474971147680πn A049 314 GL(n,q)中共轭类的数目k(gl(n,q)),q=4,c %a049 314界:k(gl(n,q))n,a(n)n=0…500的表%H A049 314 W. Feit和N. J. Fine,有限域上的交换矩阵对Duke Math。Journal,27(1960)91-94.0%F A049 314,GL(n,q)中共轭类的数量A(n)是无限乘积中T^ n的系数:乘积K=1, 2,…(1-t^ k)/(1-qt^ k)- Noam Katz(NoAMKJ(AT))热门邮件(2001).0%F A049 314 G.F.:EXP(SUMU{{K>=1 }(SuMu{{K} D*(4 ^(k/d)-1))*x^ k/k)。- _Ilya Gutkovskiy_, Sep 27 2018 %p A049314 with(numtheory): %p A049314 b:= proc(n) b(n):= add(phi(d)*4^(n/d), d=divisors(n))/n-1 end: %p A049314 a:= proc(n) a(n):= `if`(n=0, 1, %p A049314 add(add(d*b(d), d=divisors(j)) *a(n-j), j=1..n)/n) %p A049314 end: %p A049314 seq(a(n), n=0..30); # _Alois P. Heinz_, Nov 03 2012 %t A049314 b[n_] := Sum[EulerPhi[d]*4^(n/d), {d, Divisors[n]}]/n-1; a[n_] := a[n] = If[n == 0, 1, Sum[Sum[d*b[d], {d, Divisors[j]}]*a[n-j], {j, 1, n}]/n]; Table[a[n], {n, 0, 30}] (* _Jean-François Alcover_, Jan 24 2014, after _Alois P. Heinz_ *) %o A049314 (MAGMA)/* The program does not work for n>9: */ [1] cat [NumberOfClasses(GL(n,4)):(1…8)中的n;// Sergei Haller(谢尔盖(AT)谢尔盖哈勒德%O A049 314(PARI)x=x+O(’x^ 30);Vec(PROD(n=1, 30,(1-x^ n)/(1-4*x^ n)))-4Ay,A04314,A000 6951,A00 6952,A049 315,A049 316.0%K A049 314,NON % O O A049 314 0,2 % % A049 314αVLADETA JoVoVixiε含量12月21日2006日,1月23日·2013日,由亚文森佐利布兰迪亚编辑。根据OEIS最终用户许可协议提供:HTTP:/OEIS.Org/许可证