A009283 E.g.f.: exp(x + sinh(x)).

1, 2, 4, 9, 24, 73, 246, 913, 3688, 16057, 74954, 372749, 1965156, 10942285, 64103006, 393902353, 2532010800, 16982676561, 118600412626, 860680689429, 6478753957948, 50505684285301, 407133297257542, 3389160344023385, 29098108436107592, 257364794368638009

Offset

0,2

Links

Table of n, a(n) for n=0..25.

Formula

a(0) = 1; a(n) = a(n-1) + Sum_{k=0..floor((n-1)/2)} binomial(n-1,2*k) * a(n-2*k-1). - Ilya Gutkovskiy, Apr 10 2022

Mathematica

With[{nn=30}, CoefficientList[Series[Exp[x+Sinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 16 2022 *)

Prog

(PARI) x='x+O('x^66); Vec(serlaplace(exp(x + sinh(x)))) /* Joerg Arndt, Sep 01 2012 */

Crossrefs

Cf. A003724, A009227, A009282.

Sequence in context: A092236 A367112 A336023 * A236756 A291378 A125654

Adjacent sequences: A009280 A009281 A009282 * A009284 A009285 A009286

Keyword

nonn,easy

Author

R. H. Hardin

Extensions

Extended and signs tested by Olivier Gérard, Mar 15 1997

Name corrected by Arkadiusz Wesolowski, Sep 01 2012

Status

approved