A292306 a(n) = [x^n] Product_{k>=1} (1 + n^n*x^k).

1, 1, 4, 756, 65792, 19534375, 101564310279744, 558547898753326097, 9444733810164237336576, 174449211609498720646587480, 10000000004000000000400000000010000000000, 6626407607852766876000106671521201448502431912

Offset: 0

Author

Vaclav Kotesovec, Sep 14 2017

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..56

Crossrefs

Cf. A265949, A292190, A292305.

Programs

Mathematica

nmax = 14; Table[SeriesCoefficient[Product[(1+n^n*x^k), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]

Formula

Conjecture: log(a(n)) ~ (sqrt(2)*n^(3/2) - n/2)*log(n). - Vaclav Kotesovec, Aug 22 2018