A009141 Expansion of e.g.f. cosh(sin(log(1+x))).

1, 0, 1, -3, 8, -20, 16, 504, -7988, 98064, -1148444, 13529780, -163362904, 2034844032, -26171589352, 346739305080, -4707342441904, 64916998981504, -896227413179888, 12056914630083024, -148732421110480064

Offset

0,4

Links

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

Maple

seq(coeff(series(factorial(n)*cosh(sin(log(1+x))), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 31 2018

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A047093 A304256 A060305 * A090069 A272528 A195676

Adjacent sequences: A009138 A009139 A009140 * A009142 A009143 A009144

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved