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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
N. J. A. Sloane, Transforms
Eric Weisstein's World of Mathematics, Series Reversion
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 A241264 A066993
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Sep 15 2017
STATUS
approved

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Last modified February 23 14:24 EST 2024. Contains 370283 sequences. (Running on oeis4.)