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a(n) = n!*(n*(n+1)/2)!.
2

%I #11 Aug 27 2021 11:10:43

%S 1,1,12,4320,87091200,156920924160000,36785478363630796800000,

%T 1536637256843037856927580160000000,

%U 14998770936168817088309737749441675264000000000,43408511507665453002645192043544271642563569306828800000000000

%N a(n) = n!*(n*(n+1)/2)!.

%p seq(n!*(n*(n+1)/2)!,n=0..9); # _Emeric Deutsch_, Jan 20 2007

%t Table[n!((n(n+1))/2)!,{n,0,10}] (* _Harvey P. Dale_, Aug 27 2021 *)

%Y Cf. A127234, A127236.

%K nonn

%O 0,3

%A _Artur Jasinski_, Jan 09 2007

%E More terms from _Emeric Deutsch_, Jan 20 2007