A333880 Number of integer solutions to n = x^k - y^k with x > y >= 0 and k >= 2.
0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 3, 3, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 3, 1, 1, 0, 2, 3, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 3, 0, 1, 3, 2, 0, 2, 1, 1, 0, 2, 3, 2, 0, 1, 2, 2, 0, 5, 5, 3, 0, 1, 1, 2, 0, 1, 3, 1, 0, 3, 1, 2, 0, 1, 4, 4, 0, 1, 2, 2, 0, 2, 2
Offset: 2
Keywords
Examples
For n = 63, the a(63) = 5 solutions are 8^2 - 1^2 = 64 - 1, 12^2 - 9^2 = 144 - 81, 32^2 - 31^2 = 1024 - 961, 4^3 - 1^3 = 64 - 1, and 2^6 - 1^6 = 64 - 1.
Links
- Peter Kagey, Table of n, a(n) for n = 2..10000
Comments