A082033 - OEIS

%I #13 Sep 08 2022 08:45:09

%S 1,4,14,60,312,1920,13680,110880,1008000,10160640,112492800,

%T 1357171200,17723059200,249080832000,3748666521600,60153020928000,

%U 1025216704512000,18495746260992000,352130553815040000,7055415823712256000

%N a(n) = (3n+1)*n!.

%C A row of the number array A082037.

%H Vincenzo Librandi, <a href="/A082033/b082033.txt">Table of n, a(n) for n = 0..100</a>

%H Luis Manuel Rivera, <a href="http://arxiv.org/abs/1406.3081">Integer sequences and k-commuting permutations</a>, arXiv preprint arXiv:1406.3081, 2014

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

%F 3*a(n) +(-3*n-5)*a(n-1) +2*(n-1)*a(n-2)=0. - _R. J. Mathar_, Oct 29 2014

%o (Magma) [(3*n+1)*Factorial(n): n in [0..20]]; // _Vincenzo Librandi_, May 09 2011

%Y Cf. A007680, A082034.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 02 2003