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A094330 Product of next n numbers divided by n. 0

%I #6 May 22 2018 11:28:48

%S 1,3,40,1260,72072,6511680,852508800,152512113600,35730097603200,

%T 10613749905158400,3897631650008678400,1733625189541076832000,

%U 918381625086037787136000,571320549624154764994560000

%N Product of next n numbers divided by n.

%e a(4) = (7*8*9*10)/4.

%t f[n_] := Module[{start = Plus @@ Range[n - 1] + 1, end}, end = start + n - 1; (Times @@ Range[start, end])/n]; Table[f[i], {i, 15}]

%t With[{nn=15},Times@@#/Length[#]&/@TakeList[Range[(nn(nn+1))/2], Range[ nn]]] (* Requires Mathematica version 11 or later *) (* _Harvey P. Dale_, May 22 2018 *)

%K nonn

%O 1,2

%A _Amarnath Murthy_, May 13 2004

%E More terms from _Harvey P. Dale_, May 23 2004

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Last modified August 23 21:15 EDT 2024. Contains 375396 sequences. (Running on oeis4.)