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 A291489 Expansion of the series reversion of -1 + Product_{k>=1} (1 + x^k)^k. 2
 1, -2, 3, 2, -41, 196, -541, 229, 7235, -48228, 175956, -254933, -1575661, 14909191, -67194669, 153944915, 292516673, -4968647665, 27275432639, -82747735226, 3883854725, 1660136515050, -11302429310683, 42362000190568, -53376259124482, -520085199830413, 4671353423344131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Reversion of g.f. (with constant term omitted) for A026007. LINKS N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Series Reversion FORMULA G.f. A(x) satisfies: -1 + Product_{k>=1} (1 + A(x)^k)^k = x. MATHEMATICA nmax = 27; Rest[CoefficientList[InverseSeries[Series[-1 + Product[(1 + x^k)^k, {k, 1, nmax}], {x, 0, nmax}], x], x]] nmax = 27; Rest[CoefficientList[InverseSeries[Series[-1 + Exp[Sum[(-1)^(k + 1) x^k/(k (1 - x^k)^2), {k, 1, nmax}]], {x, 0, nmax}], x], x]] CROSSREFS Cf. A007312, A026007, A050393, A176025. Sequence in context: A019228 A332734 A178134 * A075121 A075108 A265590 Adjacent sequences:  A291486 A291487 A291488 * A291490 A291491 A291492 KEYWORD sign AUTHOR Ilya Gutkovskiy, Aug 24 2017 STATUS approved

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Last modified August 10 13:12 EDT 2022. Contains 356039 sequences. (Running on oeis4.)