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A009027
Expansion of cos(log(1+x))/exp(x).
1
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
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
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved