A291378 Expansion of the series reversion of -1 + 1/(1 - x/(1 - x/(1 - x^2/(1 - x^2/(1 - x^3/(1 - x^3/(1 - ...))))))), a continued fraction.

1, -2, 4, -9, 24, -74, 251, -902, 3359, -12802, 49588, -194445, 770099, -3076129, 12380317, -50162386, 204475572, -838014584, 3451174777, -14274905490, 59276495017, -247019567936, 1032709501505, -4330122550717, 18204993223606, -76728300335664, 324125242867935, -1372110743864550

Offset

1,2

Comments

Reversion of g.f. for A006958.

Links

Table of n, a(n) for n=1..28.

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: -1 + 1/(1 - A(x)/(1 - A(x)/(1 - A(x)^2/(1 - A(x)^2/(1 - A(x)^3/(1 - A(x)^3/(1 - ...))))))) = x.

Mathematica

Rest[CoefficientList[InverseSeries[Series[-1 + 1/(1 + ContinuedFractionK[-x^Floor[(i + 1)/2], 1, {i, 1, nmax}]), {x, 0, 28}], x], x]]

Crossrefs

Cf. A006958.

Sequence in context: A336023 A009283 A236756 * A125654 A141824 A005001

Adjacent sequences: A291375 A291376 A291377 * A291379 A291380 A291381

Keyword

sign

Author

Ilya Gutkovskiy, Aug 23 2017

Status

approved