A372508 Expansion of e.g.f. exp(sinh(x)) - exp(cosh(x) - 1).

0, 1, 0, 2, 1, 12, 6, 128, 78, 1872, 1613, 37600, 38336, 990784, 1124280, 32333824, 41622181, 1272660224, 1843050734, 59527313920, 94591980910, 3252626013184, 5602035320753, 204354574172160, 380190518533920, 14594815769038848, 29179899891380592, 1174376539738169344

Offset: 0

Author

Ilya Gutkovskiy, May 04 2024

Keywords

• nonn

Comments

Number of partitions of n-set into odd blocks minus number of partitions of n-set into even blocks.

Crossrefs

Cf. A000110, A003724, A005046.

Programs

Mathematica

nmax = 27; CoefficientList[Series[Exp[Sinh[x]] - Exp[Cosh[x] - 1], {x, 0, nmax}], x] Range[0, nmax]!