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

1,1

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.

Links

Table of n, a(n) for n=1..79.

Crossrefs

Cf. A263012, A264354, A261246.

Sequence in context: A189381 A190749 A056121 * A028884 A322473 A247117

Adjacent sequences: A264352 A264353 A264354 * A264356 A264357 A264358

Keyword

nonn

Author

Wolfdieter Lang, Nov 19 2015

Status

approved