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A009136
Expansion of e.g.f. cosh(x*log(1+x)).
1
1, 0, 0, 0, 12, -60, 330, -2100, 17024, -157248, 1604520, -17875440, 216589032, -2838607200, 40020882720, -603994154400, 9715670780160, -165944432465280, 2999458158459840, -57201489673372800, 1147839380364481920
OFFSET
0,5
LINKS
FORMULA
a(n) ~ (-1)^n * n! / 2. - Vaclav Kotesovec, Jul 28 2018
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Cosh[x*Log[1+x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 03 2011 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(cosh(x*log(1+x)))) \\ G. C. Greubel, Jul 28 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cosh(x*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 28 2018
CROSSREFS
Sequence in context: A216491 A114307 A009031 * A053533 A309309 A324946
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved