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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 18 06:42 EDT 2019. Contains 326072 sequences. (Running on oeis4.)