A082034 - OEIS

%I #14 Sep 08 2022 08:45:09

%S 1,5,18,78,408,2520,18000,146160,1330560,13426560,148780800,

%T 1796256000,23471078400,330032102400,4969162598400,79768136448000,

%U 1359981342720000,24542432538624000,467373280518144000,9366672731480064000

%N a(n) = (4*n + 1)*n!.

%C A row of the array A082037.

%H Vincenzo Librandi, <a href="/A082034/b082034.txt">Table of n, a(n) for n = 0..400</a>

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

%F (-4*n+3)*a(n) + n*(4*n+1)*a(n-1) = 0. - _R. J. Mathar_, Nov 07 2014

%F 4*a(n) + (-4*n-7)*a(n-1) + 3*(n-1)*a(n-2) = 0. - _R. J. Mathar_, Nov 07 2014

%t Table[(4n+1)n!,{n,0,20}] (* _Harvey P. Dale_, Mar 02 2022 *)

%o (Magma) [(4*n+1)*Factorial(n) : n in [0..20]]; // _Vincenzo Librandi_, Sep 22 2011

%Y Cf. A082033, A007680.

%K nonn,easy

%O 0,2

%A _Paul Barry_, Apr 02 2003