A355210 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1)).
1, 2, 10, 106, 2234, 90570, 6986490, 1026623306, 289475035770, 158101579596106, 168768027732007674, 354715566244066506058, 1476006372586517922472826, 12205618234758923312503183690, 201082085503026084194089831880698
Offset: 1
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 1..81
Programs
-
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;
Formula
a(1) = 1; a(n+1) = Sum_{k=1..n} 2^k * Stirling2(n,k) * a(k).