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 A291646 Expansion of the series reversion of -1 + Product_{k>=1} (1 + x^(2*k-1)). 0
 1, 0, -1, -1, 2, 6, -1, -29, -32, 108, 311, -185, -1991, -1590, 9468, 22163, -26645, -170511, -70359, 955734, 1755790, -3561052, -16020532, 309754, 102695477, 141637053, -463468990, -1567907433, 806541136, 11367276801, 10768399120, -59447130815, -155142592628, 172852194214, 1273466836673 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Reversion of g.f. (with constant term omitted) for A000700. 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)^(2*k-1)) = x. MATHEMATICA nmax = 35; Rest[CoefficientList[InverseSeries[Series[-1 + Product[1 + x^(2 k - 1), {k, 1, nmax}], {x, 0, nmax}], x], x]] nmax = 35; Rest[CoefficientList[InverseSeries[Series[-1 + QPochhammer[x^2]^2/(QPochhammer[x] QPochhammer[x^4]), {x, 0, nmax}], x], x]] CROSSREFS Cf. A000700, A007312, A050393, A291489. Sequence in context: A281635 A180512 A132181 * A027642 A249306 A117214 Adjacent sequences:  A291643 A291644 A291645 * A291647 A291648 A291649 KEYWORD sign AUTHOR Ilya Gutkovskiy, Aug 28 2017 STATUS approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)