A374650 a(n) = n! - 2(n-1)! + 3(n-2)! - 4(n-3)!.

1, 14, 82, 528, 3864, 31920, 294480, 3003840, 33586560, 408602880, 5374252800, 76001587200, 1150082841600, 18544067942400, 317416158259200, 5748536521728000, 109823724122112000, 2207396178763776000, 46564463961759744000, 1028630969057083392000

Offset

3,2

Links

Table of n, a(n) for n=3..22.

Formula

D-finite with recurrence +(-3*n+34)*a(n) +(n-1)*(3*n-44)*a(n-1) +(13*n+1)*(n-4)*a(n-2)=0. - R. J. Mathar, Jul 30 2024

Maple

374650 := proc(n)
    n!-2*(n-1)!+3*(n-2)!-4*(n-3)!
end proc:
seq(A374650(n), n=3..50) ; # R. J. Mathar, Jul 30 2024

Mathematica

Table[n! - 2 (n - 1)! + 3 (n - 2)! - 4 (n - 3)!, {n, 3, 25}]

Crossrefs

Cf. A000142, A374649.

Sequence in context: A215700 A199912 A082971 * A176010 A250562 A166819

Adjacent sequences: A374647 A374648 A374649 * A374651 A374652 A374653

Keyword

nonn

Author

Clark Kimberling, Jul 25 2024

Status

approved