The integer 30 can be written as a sum of consecutive positive integers in three ways:
30 = 9+10+11 = 6+7+8+9 = 4+5+6+7+8.

Find the smallest positive integer which can be written as a sum of consecutive positive integers in 12 ways.

note the sum of n integers is sort of a sequence
generated by the formula a*n if n is odd
and a*n + n/2 if n is even

What we would want is akin to finding a number with a large number (12?) of factors.

This may be a step in the right direction.
-Jer

Posted by Jer on 2004-06-28 16:51:34