|
%I #15 Mar 10 2017 14:55:26
%S 0,1,2,5,34,480,17180,1652171,461346215,396507897335,1093817527528804,
%T 9967640563717565125,306039783996035518230753,
%U 32112037153481933712774822566,11641561173234351448063113301394401
%N Number of partitions of 2^n into n parts.
%F a(n) = P(2^n,n), where P(x, y) is the number of partitions of x into y parts.
%F a(n) = A008284(2^n,n). - _R. J. Mathar_, Mar 10 2017
%t a[n_] := SeriesCoefficient[1/Product[1 - x^k, {k, 1, n}], {x, 0, 2^n - n}]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 14}] (* _Jean-François Alcover_, Mar 01 2017 *)
%K nonn,more
%O 0,3
%A _Francois Alcover_, Feb 28 2017
|
