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Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).
2

%I #13 Mar 09 2015 09:35:21

%S 0,8,36,224,432,756,1232,2808,4004,5544,7488,12852,16416,20672,25704,

%T 38456,46368,55440,65780,90720,105560,122148,140616,183744,208692,

%U 236096,266112,334628,373464,415584,461168,563472,620576,681912,747684

%N Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).

%C Sequence contains all numbers of form i(5i+c)(5i+d)(5i+e), with <c,d,e> from {<1,3,4>, <-1,-3,-4>, <-1,2,3>, <1,-2,-3>}. - _Ralf Stephan_, May 16 2005

%t Select[Times@@(Range[0,4]+#)/Total[Range[0,4]+#]&/@ Range[0,60],IntegerQ] (* _Harvey P. Dale_, Mar 17 2011 *)

%Y Cf. A032768, A032769.

%K nonn

%O 0,2

%A _Patrick De Geest_, May 15 1998