|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|