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A291376 Expansion of the series reversion of x/(1 - 2*x/(1 - 3*x/(1 - 4*x/(1 - 5*x/(1 - ...))))), a continued fraction. 0
1, -2, -2, -14, -134, -1610, -22970, -376070, -6912590, -140545682, -3127227122, -75537934526, -1968218386646, -55032827628122, -1643983822922282, -52268580072454070, -1762720241380630430, -62864993479711480610, -2364417640569364405730, -93549390640311405418094 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Reversion of g.f. (with constant term omitted) for A000698.
LINKS
N. J. A. Sloane, Transforms
Eric Weisstein's World of Mathematics, Series Reversion
FORMULA
G.f. A(x) satisfies: A(x)/(1 - 2*A(x)/(1 - 3*A(x)/(1 - 4*A(x)/(1 - 5*A(x)/(1 - ...))))) = x.
MATHEMATICA
Rest[CoefficientList[InverseSeries[Series[x/(1 + ContinuedFractionK[-i x, 1, {i, 2, 20}]), {x, 0, 20}], x], x]]
Rest[CoefficientList[InverseSeries[Series[1 - 1/(1 + Sum[(2 i - 1)!! x^i, {i, 1, 20}]), {x, 0, 20}], x], x]]
CROSSREFS
Cf. A000698.
Sequence in context: A292080 A333372 A350923 * A273319 A009773 A325912
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Aug 23 2017
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)