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A307566 Expansion of Product_{j>=1} (1 + j*(-1 + Product_{k>=1} (1 + k*x^k))^j). 1
1, 1, 4, 18, 72, 289, 1119, 4301, 16408, 62313, 234914, 879822, 3274623, 12125348, 44707778, 164258803, 601535222, 2195926654, 7990792367, 28985219498, 104811279467, 377875493610, 1358584361039, 4872111113570, 17431266435024, 62229179950735, 221699783190996, 788274748711694 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

FORMULA

G.f.: g(g(x) - 1), where g(x) = g.f. of A022629.

MATHEMATICA

nmax = 27; CoefficientList[Series[Product[(1 + j (-1 + Product[(1 + k x^k), {k, 1, nmax}])^j), {j, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A022629, A307128, A307323, A307494.

Sequence in context: A027261 A290919 A218892 * A117615 A267450 A199524

Adjacent sequences:  A307563 A307564 A307565 * A307567 A307568 A307569

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 15 2019

STATUS

approved

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Last modified October 1 15:55 EDT 2020. Contains 337443 sequences. (Running on oeis4.)