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A333880 Number of integer solutions to n = x^k - y^k with x > y >= 0 and k >= 2.

%I A333880 #11 Nov 19 2020 22:34:19
%S A333880 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,
%T A333880 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,
%U A333880 0,1,3,1,0,3,1,2,0,1,4,4,0,1,2,2,0,2,2
%N A333880 Number of integer solutions to n = x^k - y^k with x > y >= 0 and k >= 2.
%C A333880 a(n) = 0 for all n in A303744.
%C A333880 Records occur at n = 2, 3, 7, 15, 63, 240, 480, 720, 960, 1440, 2400, 2880, 3360, 4032, 5040, ... - _Peter Kagey_, Nov 18 2020
%H A333880 Peter Kagey, <a href="/A333880/b333880.txt">Table of n, a(n) for n = 2..10000</a>
%e A333880 For n = 63, the a(63) = 5 solutions are
%e A333880    8^2 -  1^2 =   64 -   1,
%e A333880   12^2 -  9^2 =  144 -  81,
%e A333880   32^2 - 31^2 = 1024 - 961,
%e A333880    4^3 -  1^3 =   64 -   1, and
%e A333880    2^6 -  1^6 =   64 -   1.
%Y A333880 Cf. A034178, A303744, A333822, A333868.
%K A333880 nonn
%O A333880 2,6
%A A333880 _Peter Kagey_, Apr 08 2020