A361096 E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)^2) - 1 ).

1, 1, -1, 1, 17, -339, 4999, -63587, 566145, 3549241, -405637489, 15518099961, -446235202799, 9617693853925, -75522664207017, -7341781870733099, 596513949276803969, -30104875035438797583, 1144712508931072057375, -27381639204739332379151

Offset

0,5

Links

Winston de Greef, Table of n, a(n) for n = 0..385

Formula

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

Prog

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

Crossrefs

Cf. A052873, A361093, A361094, A361095, A361097.

Sequence in context: A009046 A012112 A294435 * A137246 A171860 A324449

Adjacent sequences: A361093 A361094 A361095 * A361097 A361098 A361099

Keyword

sign

Author

Seiichi Manyama, Mar 01 2023

Status

approved