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A237609 Positive integers k such that x^2 - 9xy + y^2 + k = 0 has integer solutions. 8

%I #14 Jan 09 2015 08:56:44

%S 7,13,17,19,28,41,52,61,63,68,73,76,77,83,101,112,117,131,139,143,153,

%T 161,164,167,171,173,175,187,208,209,227,241,244,252,259,271,272,283,

%U 292,293,299,304,307,308,325,332,343,349,369,371,391,404,409,425,437

%N Positive integers k such that x^2 - 9xy + y^2 + k = 0 has integer solutions.

%e 7 is in the sequence because x^2 - 9xy + y^2 + 7 = 0 has integer solutions, for example (x, y) = (1, 8).

%o (PARI) is(n)=bnfisintnorm(bnfinit(x^2-9*x+1),-n) \\ _Ralf Stephan_, Feb 11 2014

%Y Cf. A070998 (k = 7).

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

%K nonn

%O 1,1

%A _Colin Barker_, Feb 10 2014

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)