A292363 Expansion of the series reversion of x*Product_{k>=0} (1 + x^(2^k) + x^(2^(k + 1))).

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

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 A241264 A066993

Adjacent sequences: A292360 A292361 A292362 * A292364 A292365 A292366

Keyword

sign

Author

Ilya Gutkovskiy, Sep 15 2017

Status

approved