[1] Find all positive integers that cannot be written as the sum of 2 or more consecutive positive integers.
[2] Find all integers that cannot be written as the sum of 2 or more consecutive integers.
[3] Find all positive integers that can only be written as the sum of 2 or more consecutive positive integers in one way.
There are no integers that cannot be written as the sum of two or more consecutive integers.
If n is positive, it equals the sum of all the 2n integers
between -n+1 and n (inclusive)
If n is negative,
it equals the sum of all the -2n integers between n and -n-1 (inclusive)
if n is zero, it is the sum of -1, 0 and 1.
Edited on April 14, 2011, 8:28 pm
Edited on April 14, 2011, 8:29 pm
Part 2 (spoiler)
