A377446 E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x))^3.

1, 3, 33, 642, 18312, 694242, 32960910, 1883757264, 126015816624, 9664169177136, 836144408644560, 80584887639709296, 8562470160920850144, 994509363776066618256, 125361725299037966371824, 17045520282440541500805504, 2486876242354800277464657792, 387527092638347603108279296512

Offset

0,2

Links

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

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377447.

a(n) = 3 * Sum_{k=0..n} (4*k+2)!/(3*k+3)! * |Stirling1(n,k)|.

Prog

(PARI) a(n) = 3*sum(k=0, n, (4*k+2)!/(3*k+3)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A052803, A377445, A377449.

Cf. A377447.

Sequence in context: A144756 A384012 A377453 * A397131 A380880 A336636

Adjacent sequences: A377443 A377444 A377445 * A377447 A377448 A377449

Keyword

nonn

Author

Seiichi Manyama, Oct 28 2024

Status

approved