A277463 E.g.f.: sinh(x)/(1+LambertW(-x)).

0, 1, 2, 13, 112, 1321, 19296, 335637, 6764864, 154946449, 3973820800, 112789880413, 3509627281920, 118790978349369, 4344883388878592, 170767066282574821, 7177162988688031744, 321206181612447781921, 15250250261039350358016, 765586309042945067185581

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..385

Formula

a(n) ~ sinh(exp(-1)) * n^n.

Mathematica

CoefficientList[Series[Sinh[x]/(1+LambertW[-x]), {x, 0, 25}], x] * Range[0, 25]!
Table[(1-(-1)^n + Sum[(1-(-1)^(n-k)) * Binomial[n, k] * k^k, {k, 1, n}])/2, {n, 0, 25}]

Prog

(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(sinh(x)/(1 + lambertw(-x))))) \\ G. C. Greubel, Nov 05 2017

Crossrefs

Cf. A000312, A069856, A086331, A277461, A277464.

Sequence in context: A176932 A258916 A052444 * A277469 A046888 A046890

Adjacent sequences: A277460 A277461 A277462 * A277464 A277465 A277466

Keyword

nonn

Author

Vaclav Kotesovec, Oct 16 2016

Status

approved