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The values D not a square that admit proper solutions (x, y) to the Pell equation x^2 - D*y^2 = +8, ordered increasingly.
1

%I #6 Nov 22 2015 15:26:48

%S 8,17,28,41,56,73,89,92,97,113,124,136,137,161,184,188,193,217,233,

%T 241,248,281,284,313,316,329,337,353,376,392,409,412,433,449,457,476,

%U 497,508,521,553,568,569,593,601,604,617,632,641,668,673,713,721,764,769,776,796,809,824,833,857,881,889,892,929,937,952,953,956,977,1016,1033,1049,1052,1057,1081,1084,1097,1148,1153

%N The values D not a square that admit proper solutions (x, y) to the Pell equation x^2 - D*y^2 = +8, ordered increasingly.

%C This sequence is the union of A263012 and A264354. See these sequences for details and examples.

%C For square D the only solution is D=1 with (3, 1).

%C Improper solutions derive from 2*(X, Y) with (X, Y) proper solutions for D a member of A261246.

%Y Cf. A263012, A264354, A261246.

%K nonn

%O 1,1

%A _Wolfdieter Lang_, Nov 19 2015