A355122 E.g.f. A(x) satisfies A(x) = 1 + (exp(x) - 1) * A(2 * (exp(x) - 1)).
1, 1, 5, 73, 2725, 242921, 50068197, 23441365641, 24644653272869, 57655911504114985, 297771560486880287589, 3370400630994211122517705, 83052841013576647141181337509, 4428866659075152490151174819022697, 508340576698412171558866359984025695205
Offset: 0
Keywords
Programs
-
PARI
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^(j-1)*stirling(i, j, 2)*v[j])); v;
Formula
E.g.f. A(x) satisfies: A(log(1+x)) = 1 + x*A(2*x).
a(0) = 1; a(n) = Sum_{k=1..n} k * 2^(k-1) * Stirling2(n,k) * a(k-1).