A009049 Expansion of cos(sin(x)*log(1+x)).

1, 0, 0, 0, -12, 60, -210, 1260, -8400, 54432, -456360, 4469520, -45154296, 493288224, -5892938688, 75085701600, -1017515316480, 14668694264704, -223340767219392, 3570533188036992, -59698808359690112, 1038791996385239040

Offset

0,5

Links

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

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Sin[x]*Log[1 + x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 23 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cos(sin(x)*log(1+x)))) \\ G. C. Greubel, Jul 23 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sin(x)*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018

Crossrefs

Sequence in context: A000554 A012289 A012583 * A012577 A009148 A012581

Adjacent sequences: A009046 A009047 A009048 * A009050 A009051 A009052

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved