A380492 a(n) = n! * Sum_{k=0..n} binomial(2*n-2,k)/(n-k)!.

1, 1, 7, 73, 1045, 19081, 424051, 11109337, 335262313, 11453449105, 436944953791, 18412283563081, 849345673881277, 42570185481576793, 2303643608370636715, 133859418832759525081, 8312945340897388101841, 549460711493172343519777, 38513032385247860120975863

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Wikipedia, Laguerre polynomials

Index entries for sequences related to Laguerre polynomials

Formula

a(n) = n! * LaguerreL(n, n-2, -1).

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

Prog

(PARI) a(n) = n!*pollaguerre(n, n-2, -1);

Crossrefs

Cf. A082545, A152059, A251568, A293985, A343832, A380491, A380493.

Sequence in context: A261783 A250917 A112939 * A058350 A048174 A352118

Adjacent sequences: A380489 A380490 A380491 * A380493 A380494 A380495

Keyword

nonn

Author

Seiichi Manyama, Jan 25 2025

Status

approved