A264355 The values D not a square that admit proper solutions (x, y) to the Pell equation x^2 - D*y^2 = +8, ordered increasingly.

8, 17, 28, 41, 56, 73, 89, 92, 97, 113, 124, 136, 137, 161, 184, 188, 193, 217, 233, 241, 248, 281, 284, 313, 316, 329, 337, 353, 376, 392, 409, 412, 433, 449, 457, 476, 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

Offset: 1

Author

Wolfdieter Lang, Nov 19 2015

Keywords

• nonn

Comments

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

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

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

Crossrefs

Cf. A263012, A264354, A261246.