A082034 a(n) = (4*n + 1)*n!.

1, 5, 18, 78, 408, 2520, 18000, 146160, 1330560, 13426560, 148780800, 1796256000, 23471078400, 330032102400, 4969162598400, 79768136448000, 1359981342720000, 24542432538624000, 467373280518144000, 9366672731480064000, 197065062662307840000, 4342730084595302400000

Offset

0,2

Comments

A row of the array A082037.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..400

Formula

a(n) = A016813(n)*n!.

From R. J. Mathar, Nov 07 2014: (Start)

(-4*n+3)*a(n) + n*(4*n+1)*a(n-1) = 0.

4*a(n) + (-4*n-7)*a(n-1) + 3*(n-1)*a(n-2) = 0. (End)

E.g.f.: (1 + 3*x)/(1 - x)^2. - Elmo R. Oliveira, Nov 23 2025

Mathematica

Table[(4n+1)n!, {n, 0, 20}] (* Harvey P. Dale, Mar 02 2022 *)

Prog

(Magma) [(4*n+1)*Factorial(n) : n in [0..20]]; // Vincenzo Librandi, Sep 22 2011

Crossrefs

Cf. A000142, A007680, A016813, A082033, A082037.

Sequence in context: A227451 A017960 A162814 * A259340 A241713 A002826

Adjacent sequences: A082031 A082032 A082033 * A082035 A082036 A082037

Keyword

nonn,easy

Author

Paul Barry, Apr 02 2003

Status

approved