A355232 E.g.f. A(x) satisfies A'(x) = 1 + (exp(x) - 1) * A(2*x).
0, 1, 0, 4, 6, 136, 810, 28204, 458766, 30584656, 1191878610, 162323643604, 14307180186486, 4073323890279736, 788119370902131450, 472616432593062958204, 197219048399199774543966, 249355424516977575240738976
Offset: 0
Keywords
Programs
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PARI
a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i-1, 2^j*binomial(i, j)*v[j])); concat(0, v);
Formula
a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^k * binomial(n,k) * a(k).