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A355210 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1)). 2
1, 2, 10, 106, 2234, 90570, 6986490, 1026623306, 289475035770, 158101579596106, 168768027732007674, 354715566244066506058, 1476006372586517922472826, 12205618234758923312503183690, 201082085503026084194089831880698 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(1) = 1; a(n+1) = Sum_{k=1..n} 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, 2^j*stirling(i, j, 2)*v[j])); v;
CROSSREFS
Sequence in context: A217901 A127728 A306064 * A185396 A003222 A262145
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 24 2022
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)