A377447 E.g.f. satisfies A(x) = 1/(1 + A(x)^3 * log(1 - x)).

1, 1, 9, 158, 4246, 154924, 7162292, 401410680, 26453842848, 2004890580840, 171808440737928, 16427634731841552, 1733913231506623632, 200249346295125726624, 25118871041680870112352, 3400884689353492497349248, 494317826168209713209318400, 76773315675375252953433141120

Offset: 0

Author

Seiichi Manyama, Oct 28 2024

Keywords

• nonn

Crossrefs

Cf. A367158, A377448.

Programs

PARI

a(n) = sum(k=0, n, (4*k)!/(3*k+1)!*abs(stirling(n, k, 1)));

Formula

a(n) = Sum_{k=0..n} (4*k)!/(3*k+1)! * |Stirling1(n,k)|.