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A033313 Smallest integer x satisfying Pell equation x^2-ny^2=1 for non-square n. +0
10
3, 2, 9, 5, 8, 3, 19, 10, 7, 649, 15, 4, 33, 17, 170, 9, 55, 197, 24, 5, 51, 26, 127, 9801, 11, 1520, 17, 23, 35, 6, 73, 37, 25, 19, 2049, 13, 3482, 199, 161, 24335, 48, 7, 99, 50, 649, 66249, 485, 89, 15, 151, 19603, 530, 31, 1766319049, 63, 8, 129, 65, 48842, 33 (list; graph; listen)
OFFSET

1,1

LINKS

S. R. Finch, Class number theory

H. W. Lenstra, jr., Solving the Pell Equation

F. Richman & R. Mines, Pell's equation

D. Smith, Historical Overview of Pell Equations

D. Smith, The Search For An Exhaustive Solution to Pell's Equation

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

See A033317 (for y's).

Cf. A000037, A002350.

Sequence in context: A090880 A064614 A016650 this_sequence A140590 A164279 A125152

Adjacent sequences: A033310 A033311 A033312 this_sequence A033314 A033315 A033316

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

Offset switched to 1 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2009

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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