A032773 Integer quotients n(n+1)(n+2)...(n+5) / (n+(n+1)+(n+2)+...+(n+5)).
0, 3360, 48048, 12282816
Offset: 0
Programs
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Mathematica
Select[Table[Times@@Range[n,n+5]/Total[Range[n,n+5]],{n,0,100}], IntegerQ] (* Harvey P. Dale, May 09 2018 *)