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A006705 Solution to Pellian: y such that x^2 - n y^2 = +- 1, +- 4.
(Formerly M0398)
+0
4
0, 1, 1, 0, 1, 2, 3, 1, 0, 1, 3, 2, 1, 4, 1, 0, 1, 4, 39, 1, 1, 42, 5, 1, 0, 1, 5, 3, 13, 2, 273, 1, 4, 6, 1, 0, 1, 6, 4, 1, 5, 2, 531, 3, 1, 3588, 1, 1, 0, 1, 7, 5, 1, 66, 12, 2, 20, 13, 69, 1, 5, 8, 1, 0, 1 (list; graph; listen)
OFFSET

1,6

REFERENCES

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.

CROSSREFS

Cf. A006704.

Sequence in context: A079343 A004566 A050074 this_sequence A031269 A006703 A133623

Adjacent sequences: A006702 A006703 A006704 this_sequence A006706 A006707 A006708

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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