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

Author

R. H. Hardin

Keywords

• nonn
• easy

Crossrefs

Cf. A003724, A009227, A009282.

Programs

Mathematica

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

PARI

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

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

Extensions

Extended and signs tested by Olivier Gérard, Mar 15 1997

Name corrected by Arkadiusz Wesolowski, Sep 01 2012