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 A299208 Expansion of 1/(1 - x*Product_{k>=1} 1/(1 + x^k)). 12
 1, 1, 0, -1, -2, -1, 1, 3, 3, 1, -3, -6, -5, 1, 9, 12, 5, -9, -20, -18, 1, 26, 38, 21, -21, -61, -62, -9, 72, 120, 81, -44, -177, -205, -64, 186, 366, 293, -63, -496, -657, -304, 445, 1084, 1014, 33, -1341, -2053, -1238, 959, 3132, 3378, 770, -3474, -6260, -4619, 1656, 8809, 10929, 4306, -8520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 N. J. A. Sloane, Transforms FORMULA G.f.: 1/(1 - x*Product_{k>=1} 1/(1 + x^k)). a(0) = 1; a(n) = Sum_{k=1..n} A081362(k-1)*a(n-k). MATHEMATICA nmax = 60; CoefficientList[Series[1/(1 - x Product[1/(1 + x^k), {k, 1, nmax}]), {x, 0, nmax}], x] CROSSREFS Antidiagonal sums of A286352. Cf. similar sequences: A067687, A299105, A299106, A299208, A302017, A318581, A318582, A331484. Cf. A081362, A299108, A299162, A299164, A299166, A299167, A299209, A299210, A299211, A299212. Sequence in context: A029264 A215064 A124054 * A334187 A082870 A026009 Adjacent sequences:  A299205 A299206 A299207 * A299209 A299210 A299211 KEYWORD sign AUTHOR Ilya Gutkovskiy, Feb 05 2018 STATUS approved

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Last modified August 4 13:24 EDT 2020. Contains 336201 sequences. (Running on oeis4.)