A333880 - OEIS

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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

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OFFSET

2,6

COMMENTS

a(n) = 0 for all n in A303744.

Records occur at n = 2, 3, 7, 15, 63, 240, 480, 720, 960, 1440, 2400, 2880, 3360, 4032, 5040, ... - Peter Kagey, Nov 18 2020

LINKS

Peter Kagey, Table of n, a(n) for n = 2..10000

EXAMPLE

For n = 63, the a(63) = 5 solutions are

8^2 - 1^2 = 64 - 1,

12^2 - 9^2 = 144 - 81,