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A292363 Expansion of the series reversion of x*Product_{k>=0} (1 + x^(2^k) + x^(2^(k + 1))). 0
1, -1, 0, 4, -13, 19, 29, -271, 813, -751, -4760, 27090, -64793, -7211, 711474, -2960908, 5032677, 10613605, -101563784, 324249252, -277992739, -2445619767, 13926689707, -33471888047, -12186274415, 441311889151, -1820392010748, 2958129727814, 8133042126855, -71172149566357, 222777402233343 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Reversion of g.f. for A002487.

LINKS

Table of n, a(n) for n=1..31.

N. J. A. Sloane, Transforms

Eric Weisstein's World of Mathematics, Series Reversion

Index entries for reversions of series

FORMULA

G.f. A(x) satisfies: A(x)*Product_{k>=0} (1 + A(x)^(2^k) + A(x)^(2^(k + 1))) = x.

MATHEMATICA

nmax = 31; Rest[CoefficientList[InverseSeries[Series[x Product[1 + x^(2^k) + x^(2^(k + 1)), {k, 0, nmax}], {x, 0, nmax}], x], x]]

CROSSREFS

Cf. A002487.

Sequence in context: A075327 A267767 A141491 * A119048 A319259 A241264

Adjacent sequences:  A292360 A292361 A292362 * A292364 A292365 A292366

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 15 2017

STATUS

approved

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)