A361091 E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)^2) ).

1, 1, 3, 1, -71, -19, 10051, 12349, -3185391, -9346247, 1797304771, 9717361721, -1582301193527, -13722004186331, 2000705907453891, 25552516703201461, -3432004488804778079, -60960914621687232271, 7660860906885122096515

Offset

0,3

Links

Winston de Greef, Table of n, a(n) for n = 0..380

Formula

a(n) = n! * Sum_{k=0..n} (-2*n+2*k+1)^(k-1) * binomial(n-1,n-k)/k!.

Prog

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

Crossrefs

Cf. A161630, A212722, A212917, A361090, A361092.

Cf. A361068, A361096.

Sequence in context: A082525 A162221 A213127 * A344050 A213069 A357813

Adjacent sequences: A361088 A361089 A361090 * A361092 A361093 A361094

Keyword

sign

Author

Seiichi Manyama, Mar 01 2023

Status

approved