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A355121
E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(-2 * log(1-x)).
2
1, 1, 5, 74, 2778, 248244, 51212444, 23984832416, 25218677193200, 59000757443457072, 304720138059811544048, 3449059394896458379058208, 84991203371449537414272981856, 4532232538284485346856696552505728, 520204832574009673696495358635072488576
OFFSET
0,3
FORMULA
E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + x*A(2*x).
a(0) = 1; a(n) = Sum_{k=1..n} k * 2^(k-1) * |Stirling1(n,k)| * a(k-1).
PROG
(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)*abs(stirling(i, j, 1))*v[j])); v;
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 20 2022
STATUS
approved