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

Author

Seiichi Manyama, Mar 01 2023

Keywords

• sign

Links

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

Crossrefs

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

Programs

PARI

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

Formula

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