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A299164
Expansion of 1/(1 - x*Product_{k>=1} (1 + k*x^k)).
11
1, 1, 2, 5, 14, 35, 91, 233, 597, 1517, 3885, 9922, 25333, 64683, 165181, 421828, 1077277, 2750993, 7025168, 17940298, 45814165, 116996152, 298774246, 762982615, 1948434235, 4975732669, 12706571546, 32448880807, 82864981016, 211613009498, 540397935771, 1380018797044, 3524165721799
OFFSET
0,3
LINKS
N. J. A. Sloane, Transforms
FORMULA
G.f.: 1/(1 - x*Product_{k>=1} (1 + k*x^k)).
a(0) = 1; a(n) = Sum_{k=1..n} A022629(k-1)*a(n-k).
MATHEMATICA
nmax = 32; CoefficientList[Series[1/(1 - x Product[1 + k x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
CROSSREFS
Antidiagonal sums of A297321.
Sequence in context: A265226 A357835 A369591 * A131408 A137917 A360031
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 04 2018
STATUS
approved