A355205 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(-log(1-x)).

1, 2, 6, 28, 184, 1596, 17508, 235592, 3799736, 72125344, 1587567768, 40027332256, 1144113365576, 36747710168568, 1316192996129064, 52219780699310176, 2281487895137577232, 109193200290592216368, 5698144666408068511472

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..325

Formula

a(1) = 1; a(n+1) = 2 * Sum_{k=1..n} |Stirling1(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, abs(stirling(i, j, 1))*v[j])); v;

Crossrefs

Cf. A143805, A355098.

Sequence in context: A100526 A200560 A303344 * A196555 A084262 A231621

Adjacent sequences: A355202 A355203 A355204 * A355206 A355207 A355208

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2022

Status

approved