A009053 - OEIS

A009053

Expansion of e.g.f. cos(sinh(log(1+x))).

1, 0, -1, 3, -14, 80, -526, 3906, -32192, 290016, -2816056, 29050120, -313052024, 3442154352, -37060529416, 353733158520, -1866295941824, -42066299646976, 2247562825065152, -73960387213018176, 2159580310527713536

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Cos[Sinh[Log[1+x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 19 2013 *)

PROG

(PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(log(1+x))))) \\ G. C. Greubel, Jul 23 2018

(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(Log(1+x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018

CROSSREFS

Sequence in context: A107596 A212391 A000264 * A202474 A347001 A354325

Adjacent sequences: A009050 A009051 A009052 * A009054 A009055 A009056

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

Mathematica program replaced by Harvey P. Dale, Oct 19 2013

STATUS

approved