A293786 - OEIS

A293786

a(n) = n! * [x^n] exp(Sum_{j>=1} j^(n-1)*x^j).

1, 1, 5, 79, 3049, 281781, 62813281, 31485039139, 34744132717841, 87021427208179753, 478223788295847736801, 5632387976229387238588911, 146556226850373293041283537497, 8264489999577847335581419448796253, 987463694910250882031042208037752864641

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OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..76

FORMULA

log(a(n)) ~ exp(-1) * n^2. - Vaclav Kotesovec, Oct 17 2017

MATHEMATICA

Table[n!*SeriesCoefficient[Exp[Sum[j^(n-1)*x^j, {j, 1, n}]], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 17 2017 *)

CROSSREFS

Main diagonal of A293785.

Sequence in context: A152297 A366640 A244585 * A141828 A134531 A347841

Adjacent sequences: A293783 A293784 A293785 * A293787 A293788 A293789

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 16 2017

STATUS

approved