A009193 Expansion of e.g.f.: exp(log(1+x)*cosh(x)).

1, 1, 0, 3, 6, -5, 135, -154, 1260, 6189, -33285, 470294, -2056758, 14299935, -3614611, -379101878, 10041282472, -121491285111, 1656259499511, -21619048472474, 338632378045750, -5874571029856693, 115201962050532137

Offset: 0

Author

R. H. Hardin

Keywords

• sign
• easy

Programs

Mathematica

With[{nn=30},CoefficientList[Series[Exp[Log[1+x]*Cosh[x]],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Jun 21 2017 *)

Formula

E.g.f.: (1+x)^cosh(x). - Vaclav Kotesovec, Jul 28 2018

a(n) ~ (-1)^n * n! / (Gamma(-cosh(1)) * n^(1 + cosh(1))). - Vaclav Kotesovec, Jul 28 2018

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Definition clarified and prior Mathematica program replaced by Harvey P. Dale, Jun 21 2017