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a(n) = n! * (n+1)! * (n+2)! * (n+3)! * (n+4)! * (n+5)! / (2! * 3! * 4! * 5! * 6!).
2

%I #21 Aug 14 2023 08:27:35

%S 1,5040,101606400,6145155072000,929147446886400000,

%T 309071606732292096000000,205619158526859285626880000000,

%U 254046582743105184577722777600000000,549289359343832305886569080815616000000000,1979419135331434097492840339627153817600000000000

%N a(n) = n! * (n+1)! * (n+2)! * (n+3)! * (n+4)! * (n+5)! / (2! * 3! * 4! * 5! * 6!).

%H Seiichi Manyama, <a href="/A010800/b010800.txt">Table of n, a(n) for n = 1..102</a>

%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>

%t Module[{nn=20,c=Times@@(Range[2,6]!)},(Times@@@Partition[ Range[ nn]!, 6,1])/c] (* _Harvey P. Dale_, Jul 29 2015 *)

%Y Column 6 in triangle A009963.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Harvey P. Dale_, Jul 29 2015

%E Offset changed to 1 by _Seiichi Manyama_, Aug 14 2023