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A367154
E.g.f. satisfies A(x) = 2 - exp(-x*A(x)^3).
2
1, 1, 5, 46, 611, 10486, 217817, 5232298, 139988039, 4014151966, 116960920469, 3089842957378, 42760230799211, -3590078035238330, -540748879852479439, -53293187072033883494, -4741372656403996001905, -409753919036526362138834
OFFSET
0,3
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
Sequence in context: A367256 A159608 A167559 * A121631 A071214 A052873
KEYWORD
sign
AUTHOR
Seiichi Manyama, Nov 07 2023
STATUS
approved