%I #18 Jun 14 2024 08:48:38
%S 2,12,288,17280,2073600,435456000,146313216000,73741860864000,
%T 53094139822080000,52563198423859200000,69383421919494144000000,
%U 119061952013851951104000000,260031303198252661211136000000,709885457731229765106401280000000,2385215137976932010757508300800000000
%N a(n) = n!*(n+1)!*(n+2)!.
%F a(n) = A000142(n)*A000142(n+1)*A000142(n+2) = A010790(n)*A000142(n+2).
%F a(n) = 2*A090443(n). - _Pontus von Brömssen_, Jun 14 2024
%e a(2) = (2)!*(2+1)!*(2+2)! = (2)!*(3)!*(4)! = 2*6*24 = 288.
%t Times@@@Partition[Range[0,15]!,3,1] (* _Harvey P. Dale_, Aug 29 2012 *)
%Y Cf. A000142, A010790, A090443.
%K easy,nonn
%O 0,1
%A _Jonathan Vos Post_, Apr 07 2010