A009029 Expansion of cos(log(1+x)*cosh(x)).

1, 0, -1, 3, -22, 100, -580, 3150, -16868, 80568, -141500, -4254580, 105666112, -1880236800, 31074394312, -508890083520, 8476622031888, -145412857677888, 2584745973422384, -47756915743199760, 918437313488897760

Offset

0,4

Links

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

Mathematica

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

Crossrefs

Sequence in context: A302723 A095663 A254332 * A009032 A221543 A309000

Adjacent sequences: A009026 A009027 A009028 * A009030 A009031 A009032

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved