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Positive integers n such that x^2 - 18xy + y^2 + n = 0 has integer solutions.
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%I #9 Jan 09 2015 08:01:53

%S 64,256,320,576,704,1024,1216,1280,1600,1856,1984,2304,2624,2816,2880,

%T 3136,3520,3776,3904,4096,4544,4864,5056,5120,5184,5696,6080,6336,

%U 6400,6464,6976,7424,7744,7936,8000,8384,8896,9216,9280,9536,9664,9920,10496,10816

%N Positive integers n such that x^2 - 18xy + y^2 + n = 0 has integer solutions.

%e 64 is in the sequence because x^2 - 18xy + y^2 + 64 = 0 has integer solutions, for example (x, y) = (1, 13).

%Y Cf. A001519 (n = 64), A052995 (n = 256), A055819 (n = 256), A005248 (n = 320), A237132 (n = 704), A237133 (n = 1216).

%Y Cf. A031363, A084917, A237351, A237599, A237606, A237609, A237610, A236330.

%K nonn

%O 1,1

%A _Colin Barker_, Feb 16 2014