A009019 Expansion of cos(log(1 + sin(x))).

1, 0, -1, 3, -6, 10, -6, -77, 724, -5220, 36364, -259457, 1933704, -15161250, 125278984, -1090268137, 9973751184, -95650827080, 958577301104, -10001308630117, 108164953941664, -1206196891901710, 13774788612312224

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..250

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Log[1 + Sin[x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 21 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+sin(x))))) \\ G. C. Greubel, Jul 21 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1 + Sin(x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 21 2018

Crossrefs

Sequence in context: A353199 A138797 A333576 * A198467 A198456 A337602

Adjacent sequences: A009016 A009017 A009018 * A009020 A009021 A009022

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved