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Column 1 of triangle A126450; a(n) = C( C(n+3,3), n).
6

%I #5 Oct 09 2014 17:47:59

%S 1,4,45,1140,52360,3819816,406481544,59487568920,11468588169060,

%T 2818651865383860,860587163078645431,319667046321630491484,

%U 141992594868360194121800,74339194732961502662043600

%N Column 1 of triangle A126450; a(n) = C( C(n+3,3), n).

%t Table[Binomial[Binomial[n+3,3],n],{n,0,20}] (* _Harvey P. Dale_, Oct 09 2014 *)

%o (PARI) a(n)=binomial((n+1)*(n+2)*(n+3)/3!, n)

%Y Cf. A126450; A126451, A126453; A126447, A126456, A126459.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 27 2006