A355121 E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(-2 * log(1-x)).

1, 1, 5, 74, 2778, 248244, 51212444, 23984832416, 25218677193200, 59000757443457072, 304720138059811544048, 3449059394896458379058208, 84991203371449537414272981856, 4532232538284485346856696552505728, 520204832574009673696495358635072488576

Offset

0,3

Links

Table of n, a(n) for n=0..14.

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

Cf. A135750, A355086, A355098.

Sequence in context: A374980 A080473 A266570 * A156703 A285452 A048350

Adjacent sequences: A355118 A355119 A355120 * A355122 A355123 A355124

Keyword

nonn

Author

Seiichi Manyama, Jun 20 2022

Status

approved