A380491 a(n) = n! * Sum_{k=0..n} binomial(2*n-3,k)/(n-k)!.

1, 0, 3, 34, 501, 9276, 207775, 5470158, 165625929, 5671386136, 216730118331, 9144481575450, 422249317829053, 21180324426577044, 1146880568461500951, 66677192513929212166, 4142571510546929867025, 273910161452560881843888, 19204878684852222745880179

Offset: 0

Author

Seiichi Manyama, Jan 25 2025

Keywords

• nonn

Links

• Wikipedia, Laguerre polynomials
• Index entries for sequences related to Laguerre polynomials

Crossrefs

Cf. A082545, A152059, A251568, A293985, A343832, A380492, A380493.

Programs

PARI

a(n) = n!*pollaguerre(n, n-3, -1);

Formula

a(n) = n! * LaguerreL(n, n-3, -1).

a(n) = n! * [x^n] exp(x/(1 - x))/(1 - x)^(n-2).