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A355216 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1))/2. 1
1, 1, 3, 19, 239, 5675, 249983, 20404811, 3112376543, 898693573515, 498042936169343, 536255530818837835, 1132713758105613132319, 4726517343060928547800331, 39145565125819857567685815231, 645447728030234045716450604490955 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(1) = 1; a(n+1) = Sum_{k=1..n} 2^(k-1) * 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, 2^(j-1)*stirling(i, j, 2)*v[j])); v;
CROSSREFS
Sequence in context: A349962 A230316 A157675 * A135754 A340225 A118023
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 24 2022
STATUS
approved

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)