A082033 a(n) = (3*n + 1)*n!.

1, 4, 14, 60, 312, 1920, 13680, 110880, 1008000, 10160640, 112492800, 1357171200, 17723059200, 249080832000, 3748666521600, 60153020928000, 1025216704512000, 18495746260992000, 352130553815040000, 7055415823712256000, 148407022498775040000, 3269820298989404160000

Offset

0,2

Comments

A row of the number array A082037.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014.

Formula

a(n) = A016777(n)*n!.

3*a(n) + (-3*n-5)*a(n-1) + 2*(n-1)*a(n-2) = 0. - R. J. Mathar, Oct 29 2014

E.g.f.: (1 + 2*x)/(1 - x)^2. - Elmo R. Oliveira, Nov 22 2025

Prog

(Magma) [(3*n+1)*Factorial(n): n in [0..20]]; // Vincenzo Librandi, May 09 2011

Crossrefs

Cf. A000142, A007680, A016777, A082034, A082037.

Sequence in context: A307411 A349018 A259104 * A009339 A050912 A250399

Adjacent sequences: A082030 A082031 A082032 * A082034 A082035 A082036

Keyword

easy,nonn

Author

Paul Barry, Apr 02 2003

Status

approved