A355211 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (1 - exp(-x))).

1, 2, 6, 26, 182, 2746, 111350, 11245882, 2521162358, 1193350247226, 1165982253097718, 2322179762944209722, 9356100009656750248822, 75909020176742648718140218, 1236750544861403327611377577974, 40395601774769639548336167153191738

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} (-1)^(n-k) * 2^k * 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]=sum(j=1, i, (-1)^(i-j)*2^j*stirling(i, j, 2)*v[j])); v;

Crossrefs

Cf. A355132, A355203, A355207.

Sequence in context: A288607 A086584 A351288 * A211604 A032014 A112948

Adjacent sequences: A355208 A355209 A355210 * A355212 A355213 A355214

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2022

Status

approved