A367154 E.g.f. satisfies A(x) = 2 - exp(-x*A(x)^3).

1, 1, 5, 46, 611, 10486, 217817, 5232298, 139988039, 4014151966, 116960920469, 3089842957378, 42760230799211, -3590078035238330, -540748879852479439, -53293187072033883494, -4741372656403996001905, -409753919036526362138834

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A097718, A367153.

Sequence in context: A367256 A159608 A167559 * A121631 A071214 A052873

Adjacent sequences: A367151 A367152 A367153 * A367155 A367156 A367157

Keyword

sign

Author

Seiichi Manyama, Nov 07 2023

Status

approved