A009031 Expansion of cos(x*log(1+x)).

1, 0, 0, 0, -12, 60, -330, 2100, -13664, 96768, -747720, 6233040, -55757592, 529420320, -5249506080, 53003714400, -519287424000, 4336798757760, -12704182464960, -768063270038400, 31846322269825920, -952431265450344960

Offset

0,5

Links

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

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[x*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(x*log(1+x)))) \\ G. C. Greubel, Jul 22 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(x*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 22 2018

Crossrefs

Sequence in context: A280175 A216491 A114307 * A009136 A053533 A309309

Adjacent sequences: A009028 A009029 A009030 * A009032 A009033 A009034

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved