The On-Line Encyclopedia of Integer Sequences (OEIS)

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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.
(history; published version)

#6 by N. J. A. Sloane at Sun Nov 22 15:26:48 EST 2015

STATUS

proposed

approved

#5 by Bruno Berselli at Thu Nov 19 08:09:08 EST 2015

STATUS

editing

proposed

#4 by Bruno Berselli at Thu Nov 19 08:09:05 EST 2015

COMMENTS

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

See these sequences for details and examples.

STATUS

proposed

editing

#3 by Wolfdieter Lang at Thu Nov 19 06:22:14 EST 2015

STATUS

editing

proposed

#2 by Wolfdieter Lang at Thu Nov 19 06:21:59 EST 2015

NAME

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

DATA

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.

CROSSREFS

Cf. A263012, A264354, A261246.

KEYWORD

allocated

nonn

AUTHOR

Wolfdieter Lang, Nov 19 2015

STATUS

approved

editing

#1 by Wolfdieter Lang at Thu Nov 12 05:31:22 EST 2015

NAME

allocated for Wolfdieter Lang

KEYWORD

allocated

STATUS

approved