A292966 a(n) = (2*n)! * [x^(2*n)] exp(n*(cosh(x)-1)).

1, 1, 14, 543, 41332, 5203880, 979067634, 257327195587, 90055440034760, 40484356990454979, 22735298894247204310, 15597865046044378254146, 12836943134715746781979644, 12482280872844033169540407253, 14157380505669130674125989779482, 18524549200247005824873100782063015

Offset: 0

Author

Ilya Gutkovskiy, Sep 29 2017

Keywords

• nonn

Crossrefs

Cf. A005046, A293022.

Programs

Mathematica

Table[(2 n)! SeriesCoefficient[Exp[n (Cosh[x] - 1)], {x, 0, 2 n}], {n, 0, 15}]
Table[(-1)^n (2 n)! SeriesCoefficient[Exp[n (Cos[x] - 1)], {x, 0, 2 n}], {n, 0, 15}]