The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A293719 Expansion of the series reversion of x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))), a continued fraction. 0
 1, 0, -1, 0, 2, -1, -5, 7, 13, -37, -27, 175, -2, -768, 521, 3120, -4457, -11394, 28363, 34269, -157108, -56124, 790091, -270661, -3638871, 3821242, 15153860, -29235087, -54470264, 182441139, 143800906, -1008933847, -16080652, 5067562024, -3456404771, -23114068193, 33623924709, 93441615451 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Reversion of 1 - 1/g(x) where g(x) = g.f. for A005169. LINKS N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Series Reversion FORMULA G.f. A(x) satisfies: A(x)/(1 - A(x)^2/(1 - A(x)^3/(1 - A(x)^4/(1 - A(x)^5/(1 - ...))))) = x. MATHEMATICA nmax = 38; Rest[CoefficientList[InverseSeries[Series[x/(1 + ContinuedFractionK[-x^k, 1, {k, 2, nmax}]), {x, 0, nmax}], x], x]] nmax = 38; Rest[CoefficientList[InverseSeries[Series[1 - Sum[(-1)^i x^(i^2)/Product[(1 - x^j), {j, 1, i}], {i, 0, nmax}]/Sum[(-1)^i x^(i (i + 1))/Product[(1 - x^j), {j, 1, i}], {i, 0, nmax}], {x, 0, nmax}], x], x]] CROSSREFS Cf. A005169, A291148, A291377. Sequence in context: A227048 A139133 A183946 * A291377 A005297 A014551 Adjacent sequences:  A293716 A293717 A293718 * A293720 A293721 A293722 KEYWORD sign AUTHOR Ilya Gutkovskiy, Oct 15 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)