A032776 Integer quotients n(n+1)(n+2)...(n+6) / (n+(n+1)+(n+2)+...+(n+6)).

0, 180, 1152, 4320, 29700, 63360, 123552, 224640, 386100, 633600, 1527552, 2267460, 3283200, 4651200, 6462720, 8825652, 15732000, 20592000, 26640900, 34100352, 43221600, 54288000, 83566080, 102529152, 124945920, 151301700

Offset: 0

Author

Patrick De Geest, May 15 1998

Keywords

• nonn

Comments

S(A016873) = (5n+2) gives values n so that above divisions end with digit '2'.

Crossrefs

Cf. A032774, A032775.

Programs

Mathematica

f[n_]:=Module[{r=Range[0,6]+n},Times@@r/Total[r]]; Select[f/@Range[0,50], IntegerQ]  (* Harvey P. Dale, Mar 20 2011 *)