A363302 E.g.f. satisfies log(A(x)) = exp(x / A(x)^3) - 1.

1, 1, -4, 41, -681, 15667, -460903, 16519141, -698242716, 34004778783, -1874858325725, 115438582354977, -7851013349413919, 584508287058281419, -47281383017104676456, 4129206143361098225405, -387216724567657721607901, 38806186875022459923785751

Offset: 0

Author

Seiichi Manyama, May 26 2023

Keywords

• sign

Crossrefs

Cf. A030019, A334241, A349598, A349683, A362467.

Cf. A349655.

Programs

PARI

a(n) = sum(k=0, n, (-3*n+1)^(k-1)*stirling(n, k, 2));

Formula

a(n) = Sum_{k=0..n} (-3*n+1)^(k-1) * Stirling2(n,k).