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

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A367158, A377448.

Sequence in context: A380095 A024122 A377450 * A230180 A361047 A360777

Adjacent sequences: A377444 A377445 A377446 * A377448 A377449 A377450

Keyword

nonn

Author

Seiichi Manyama, Oct 28 2024

Status

approved