A355215 E.g.f. A(x) satisfies A'(x) = 1 + A(-2 * log(1-x))/2.
1, 1, 3, 20, 260, 6304, 281096, 23095768, 3534364152, 1022066008944, 566769639800624, 610404514456781600, 1289451019913455115232, 5380706591109919979010304, 44564091018102742571511384320, 734792950974385564221797653105152
Offset: 1
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 1..82
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, 2^(j-1)*abs(stirling(i, j, 1))*v[j])); v;
Formula
a(1) = 1; a(n+1) = Sum_{k=1..n} 2^(k-1) * |Stirling1(n,k)| * a(k).