A377448 E.g.f. satisfies A(x) = 1/(1 + A(x)^4 * log(1 - x)).

1, 1, 11, 242, 8216, 379874, 22286230, 1586307120, 132837129240, 12796759555080, 1394232748385400, 169520552541195360, 22755571384758552000, 3342628991206830087840, 533345016648993065361120, 91858353520083403370288640, 16985334194077245970016972160, 3356121850436121636865113624960

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (5*k)!/(4*k+1)! * |Stirling1(n,k)|.

Prog

(PARI) a(n) = sum(k=0, n, (5*k)!/(4*k+1)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A367158, A377447.

Sequence in context: A267665 A196258 A121826 * A041223 A041220 A347483

Adjacent sequences: A377445 A377446 A377447 * A377449 A377450 A377451

Keyword

nonn

Author

Seiichi Manyama, Oct 28 2024

Status

approved