A009027 Expansion of cos(log(1+x))/exp(x).

1, -1, 0, 5, -27, 129, -654, 3695, -23475, 166727, -1309684, 11244309, -104234215, 1029821545, -10679924202, 113869873039, -1205722312839, 11744215117935, -79159333236840, -612589942020923, 48022885459499181, -1644758184992095631

Offset

0,4

Links

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

Mathematica

With[{nmax = 30}, CoefficientList[Series[Exp[-x]*Cos[Log[1 + x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 22 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace( cos(log(1+x))/exp(x) )) \\ G. C. Greubel, Jul 22 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1+x))/Exp(x))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 22 2018

Crossrefs

Sequence in context: A129868 A069993 A249995 * A275540 A037498 A198771

Adjacent sequences: A009024 A009025 A009026 * A009028 A009029 A009030

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved