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A297329 a(n) = [x^n] Product_{k>=1} 1/(1 - k*x^k)^n. 7
1, 1, 7, 37, 219, 1276, 7687, 46551, 285043, 1756243, 10883842, 67751289, 423366831, 2654041235, 16683909711, 105129718102, 663837626163, 4199521413019, 26610335585263, 168864540960165, 1073001606214814, 6826237566223329, 43474472693256491, 277152041235941803 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A297328(n,n).

a(n) ~ c * d^n / sqrt(n), where d = 6.51548390811914394587815688142024783108478... and c = 0.2552310487728179222346375591994440863074... - Vaclav Kotesovec, Aug 01 2019

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 - k x^k)^n, {k, 1, n}], {x, 0, n}], {n, 0, 23}]

CROSSREFS

Main diagonal of A297328.

Cf. A297322, A297324, A297326.

Sequence in context: A255672 A077239 A046235 * A144496 A025012 A039938

Adjacent sequences:  A297326 A297327 A297328 * A297330 A297331 A297332

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Dec 28 2017

STATUS

approved

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Last modified December 15 15:10 EST 2019. Contains 329999 sequences. (Running on oeis4.)