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A294957 Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^(k-1)). 3
1, 1, 5, 32, 300, 3533, 51650, 894929, 17981196, 410826036, 10518152538, 298209605418, 9273131902539, 313758357802886, 11474239675400172, 450962279143408815, 18954601400362304902, 848385358833157331498, 40285279861744621069122 (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^(n-1), g(n) = n.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..386

FORMULA

a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294956(k)*a(n-k) for n > 0.

PROG

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

CROSSREFS

Cf. A294956.

Sequence in context: A307497 A023880 A104031 * A023882 A109780 A093448

Adjacent sequences:  A294954 A294955 A294956 * A294958 A294959 A294960

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 12 2017

STATUS

approved

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Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)