A355106 E.g.f. A(x) satisfies: A(x) = 1 + 2 * x * A(-log(1-x)).

1, 2, 8, 60, 704, 11640, 254736, 7071512, 241414400, 9898632864, 478455967200, 26853032524912, 1728192188667072, 126200480666269984, 10363161616018802080, 949530356895864383280, 96418968027002031636480, 10785892383962319840160640

Offset

0,2

Links

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

Formula

a(0) = 1; a(n) = 2 * n * Sum_{k=0..n-1} |Stirling1(n-1,k)| * a(k).

a(n) = 2 * n * A355098(n-1) for n>0.

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*sum(j=0, i-1, abs(stirling(i-1, j, 1))*v[j+1])); v;

Crossrefs

Cf. A354730, A355107.

Cf. A355098.

Sequence in context: A001188 A355100 A303532 * A113145 A293379 A294331

Adjacent sequences: A355103 A355104 A355105 * A355107 A355108 A355109

Keyword

nonn

Author

Seiichi Manyama, Jun 19 2022

Status

approved