A009140 Expansion of e.g.f. cosh(log(1+x)^2).

1, 0, 0, 0, 12, -120, 1020, -8820, 82908, -867888, 10145760, -131406000, 1864232832, -28656815616, 473108471472, -8332064722800, 155724385537488, -3076215029701248, 64018830395437056, -1399676595110345088

Offset

0,5

Links

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

Maple

seq(coeff(series(factorial(n)*cosh(log(1+x)^2), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 31 2018

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cosh[Log[1 + x]^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 30 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cosh(log(1+x)^2))) \\ G. C. Greubel, Jul 30 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cosh(Log(1+x)^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 30 2018

Crossrefs

Sequence in context: A012443 A012274 A009035 * A012273 A008465 A291391

Adjacent sequences: A009137 A009138 A009139 * A009141 A009142 A009143

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved