A355208 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * log(1+x)).

1, 2, 6, 28, 236, 4400, 197552, 20430656, 4600591488, 2179887358272, 2130534442932416, 4243581375963409024, 17097951082212352465536, 138722374358947243721661440, 2260145794657531151029628653568, 73822509077371344216463442074629120

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..82

Formula

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

Crossrefs

Cf. A307874, A355133, A355204.

Sequence in context: A119966 A256599 A377132 * A002047 A126340 A370423

Adjacent sequences: A355205 A355206 A355207 * A355209 A355210 A355211

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2022

Status

approved