A032772 n(n+1)(n+2)...(n+5) / (n+(n+1)+(n+2)+...+(n+5)) is an integer.

0, 5, 10, 35

Offset: 0

Author

Patrick De Geest, May 15 1998

Keywords

• nonn
• fini
• full

Crossrefs

Cf. A032771, A032773.

Extensions

The sequence ends at 35: n(n+1)...(n+5)/n n+1 ... + n+5 = (1/192)[ 32n^5 + ... +1518n +45 - 225/(2n+5) ]; if this is an integer then n < 111 - comment from Douglas Burke (dburke(AT)nevada.edu).