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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 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. Cf. A022629, A067687, A299105, A299106, A299108, A299162, A299166, A299167. Sequence in context: A018015 A080039 A265226 * A131408 A137917 A244099 Adjacent sequences:  A299161 A299162 A299163 * A299165 A299166 A299167 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Feb 04 2018 STATUS approved

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Last modified October 17 21:34 EDT 2019. Contains 328133 sequences. (Running on oeis4.)