A355206 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(exp(x) - 1).

1, 2, 6, 26, 154, 1190, 11586, 138338, 1982526, 33510602, 658520330, 14863556590, 381389448738, 11026919584330, 356473786663910, 12798132569470442, 507233393189820394, 22074530128695694286, 1049825961204593354866, 54326220485710633589858

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..326

Formula

a(1) = 1; a(n+1) = 2 * Sum_{k=1..n} Stirling2(n,k) * a(k).

Prog

(PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=2*sum(j=1, i, stirling(i, j, 2)*v[j])); v;

Crossrefs

Cf. A003659, A355083.

Sequence in context: A205502 A107104 A141761 * A242574 A123306 A218691

Adjacent sequences: A355203 A355204 A355205 * A355207 A355208 A355209

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2022

Status

approved