A355209 E.g.f. A(x) satisfies A'(x) = 1 + A(-2 * log(1-x)).

1, 2, 10, 108, 2308, 94384, 7315728, 1077605632, 304189296192, 166216599473344, 177463576125821632, 373017466526422396288, 1552199775052648327045760, 12835792253795957289436533760, 211464475635678910995043533156352

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..81

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

Crossrefs

Cf. A143805, A355134, A355205.

Sequence in context: A185396 A003222 A262145 * A343307 A003167 A240625

Adjacent sequences: A355206 A355207 A355208 * A355210 A355211 A355212

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2022

Status

approved