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A294813 Expansion of Product_{k>=1} 1/(1 - k^k*x^k)^k. 4
1, 1, 9, 90, 1162, 17435, 310193, 6286826, 144750451, 3717959194, 105725550762, 3293914191401, 111659484775650, 4089936343858976, 160992739588472076, 6776415674628574634, 303714862444753023205, 14439925495117621425535 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = n, g(n) = n^n.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..385

FORMULA

a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294810(k)*a(n-k) for n > 0.

a(n) ~ n^(n+1). - Vaclav Kotesovec, Nov 10 2017

PROG

(PARI) N=66; x='x+O('x^N); Vec(1/prod(k=1, N, (1-k^k*x^k)^k))

CROSSREFS

Cf. A294809, A294810.

Sequence in context: A276961 A062815 A294610 * A218118 A160569 A157545

Adjacent sequences:  A294810 A294811 A294812 * A294814 A294815 A294816

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 09 2017

STATUS

approved

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Last modified May 21 03:13 EDT 2022. Contains 353886 sequences. (Running on oeis4.)