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Search: id:A006703
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| A006703 |
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Solution to Pellian: y such that x^2 - n^y^2 = +-1.
(Formerly M0399)
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+0
7
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| 0, 1, 1, 0, 1, 2, 3, 1, 0, 1, 3, 2, 5, 4, 1, 0, 1, 4, 39, 2, 12, 42, 5, 1, 0, 1, 5, 24, 13, 2, 273, 3, 4, 6, 1, 0, 1, 6, 4, 3, 5, 2, 531, 30, 24, 3588, 7, 1, 0, 1, 7, 90, 25, 66, 12, 2, 20, 13, 69, 4, 3805, 8, 1, 0, 1, 8, 5967, 4, 936, 30, 413, 2, 125, 5, 3, 6630, 40, 6, 9
(list; graph; listen)
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OFFSET
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1,6
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A. Cayley, Report of a committee appointed for the purpose of carrying on the tables connected with the Pellian equation ..., Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 13, pp. 430-443.
C. F. Degen, Canon Pellianus. Hafniae, Copenhagen, 1817.
D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 55.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
M. Zuker, Fundamental solution to Pell's Equation x^2 - d*y^2 = +-1
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CROSSREFS
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Cf. A006702 (for the x values), A077233
Sequence in context: A050074 A006705 A031269 this_sequence A133623 A065862 A020921
Adjacent sequences: A006700 A006701 A006702 this_sequence A006704 A006705 A006706
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Corrected and extended by T. D. Noe, May 19 2007
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