A302585 a(n) = n! * [x^n] exp(n*x)/cosh(x).

1, 1, 3, 18, 165, 2000, 29855, 527632, 10762857, 248811264, 6428081979, 183537694208, 5739195739277, 195059957567488, 7159662639822615, 282252719348582400, 11894243092571825745, 533554809104057434112, 25384473065818477067123, 1276688324194885747474432

Offset: 0

Author

Ilya Gutkovskiy, Apr 10 2018

Keywords

• nonn

Links

• N. J. A. Sloane, Transforms

Crossrefs

Cf. A000364, A062024, A119880, A119881, A155585, A302583, A302584, A302586, A302587.

Programs

Mathematica

Table[n! SeriesCoefficient[Exp[n x]/Cosh[x], {x, 0, n}], {n, 0, 19}]
Table[2^n EulerE[n, (n + 1)/2], {n, 0, 19}]

Formula

a(n) ~ n^n / cosh(1). - Vaclav Kotesovec, Jun 08 2019