A355230 E.g.f. A(x) satisfies A'(x) = 1 - log(1-x) * A(2*x).

0, 1, 0, 4, 6, 144, 860, 30656, 497168, 33543808, 1300171872, 178516634624, 15640422963968, 4483114311886336, 862178272953520640, 520264199498699214848, 215806526739662643193856, 274505260166616222726586368

Offset

0,4

Links

Table of n, a(n) for n=0..17.

Formula

a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^(n-k) * (k-1)! * binomial(n,k) * a(n-k).

Prog

(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^(i-j)*(j-1)!*binomial(i, j)*v[i-j])); concat(0, v);

Crossrefs

Cf. A355086, A355229, A355231.

Sequence in context: A355232 A377685 A176493 * A070155 A280778 A197882

Adjacent sequences: A355227 A355228 A355229 * A355231 A355232 A355233

Keyword

nonn

Author

Seiichi Manyama, Jun 25 2022

Status

approved