A355204 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(log(1+x)).

1, 2, 2, -4, 0, 68, -588, 2728, 17688, -766960, 14239512, -164672640, -494840680, 109461302008, -4446935274696, 122761839873664, -1889647100968176, -50347073461051088, 6582857386505201520, -397095020380174033424, 17279075935957171412288

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..328

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, stirling(i, j, 1)*v[j])); v;

Crossrefs

Cf. A307874, A355096.

Sequence in context: A337299 A240491 A113750 * A282627 A004565 A068449

Adjacent sequences: A355201 A355202 A355203 * A355205 A355206 A355207

Keyword

sign

Author

Seiichi Manyama, Jun 24 2022

Status

approved