"more" sequence,

[Jim Nastos]

Hi all,

Sequence A115783 is named:

 	Numbers n such that n can be presented in the form
 	(m+1)^k-m^k at least in two ways.

And the entry contains only the numbers 0, 1, 7, 15, 19, 127.

Why do the following not count for this sequence?

31 = 2^5 - 1^5 = 16^2 - 15^2
37 = 4^3 - 3^3 = 19^2 - 18^2
61 = 5^3 - 4^3 = 31^2 - 30^2
63 = ...
65 = ...
91 = ...
127 = 2^7 - 1^7 = 7^3 - 6^3 = 64^2 - 63^2 (three ways)
169 = ...
175 = ...
211 = ...

J