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

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

Offset: 0

Author

Paul Barry, Apr 02 2003

Keywords

• easy
• nonn

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, 2014

Crossrefs

Cf. A007680, A082034.

Programs

Magma

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

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