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A361092
E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)^3) ).
4
1, 1, 3, -5, -107, 1041, 20701, -440033, -8464455, 343190593, 5639857561, -423764450889, -4968055259771, 754544622295153, 3846355902999429, -1818148417882379729, 6637679490204153841, 5658469355898945338625, -84578525845602646639823
OFFSET
0,3
LINKS
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
KEYWORD
sign
AUTHOR
Seiichi Manyama, Mar 01 2023
STATUS
approved