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 A291377 Expansion of the series reversion of x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...))))), a continued fraction. 1
 1, 0, 1, 0, 2, -1, 5, -7, 15, -35, 57, -155, 262, -664, 1297, -2910, 6437, -13428, 31461, -65137, 152576, -325838, 744223, -1649943, 3685869, -8376976, 18574146, -42579093, 94912298, -217177891, 489321856, -1114542791, 2535640016, -5761630456, 13184657747, -29989008137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Reversion of g.f. (with constant term omitted) for A003823. LINKS N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Series Reversion FORMULA G.f. A(x) satisfies: A(x)/(1 + A(x)^2/(1 + A(x)^3/(1 + A(x)^4/(1 + A(x)^5/(1 + ...))))) = x. MATHEMATICA Rest[CoefficientList[InverseSeries[Series[ContinuedFractionK[x^i, 1, {i, 1, 36}], {x, 0, 36}], x], x]] Rest[CoefficientList[InverseSeries[Series[-1 + QPochhammer[x^2, x^5] QPochhammer[x^3, x^5]/(QPochhammer[x, x^5] QPochhammer[x^4, x^5]), {x, 0, 36}], x], x]] CROSSREFS Cf. A003823. Sequence in context: A139133 A183946 A293719 * A005297 A014551 A175002 Adjacent sequences:  A291374 A291375 A291376 * A291378 A291379 A291380 KEYWORD sign AUTHOR Ilya Gutkovskiy, Aug 23 2017 STATUS approved

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Last modified August 9 18:32 EDT 2020. Contains 336326 sequences. (Running on oeis4.)