A361092 E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)^3) ).

1, 1, 3, -5, -107, 1041, 20701, -440033, -8464455, 343190593, 5639857561, -423764450889, -4968055259771, 754544622295153, 3846355902999429, -1818148417882379729, 6637679490204153841, 5658469355898945338625, -84578525845602646639823

Offset

0,3

Links

Winston de Greef, Table of n, a(n) for n = 0..368

Formula

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

Prog

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

Crossrefs

Cf. A161630, A212722, A212917, A361090, A361091.

Cf. A361069, A361097.

Sequence in context: A003112 A130187 A289488 * A054266 A054268 A153137

Adjacent sequences: A361089 A361090 A361091 * A361093 A361094 A361095

Keyword

sign

Author

Seiichi Manyama, Mar 01 2023

Status

approved