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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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: A092236 A009283 A236756 * A125654 A141824 A005001

Adjacent sequences:  A291375 A291376 A291377 * A291379 A291380 A291381

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Aug 23 2017

STATUS

approved

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Last modified March 25 08:15 EDT 2019. Contains 321469 sequences. (Running on oeis4.)