id:A035015 - OEIS Search Results

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Period of continued fraction for square root of n-th square-free integer.

+0
4

1, 2, 1, 2, 4, 1, 2, 5, 4, 2, 1, 6, 6, 6, 4, 1, 5, 2, 8, 4, 4, 2, 1, 2, 2, 3, 2, 10, 12, 4, 2, 5, 4, 6, 7, 6, 11, 4, 1, 2, 10, 8, 6, 8, 7, 5, 6, 4, 4, 1, 2, 5, 10, 2, 5, 8, 10, 16, 4, 11, 1, 2, 12, 2, 9, 6, 15, 2, 6, 9, 6, 10, 10, 4, 1, 2, 12, 10, 3, 6, 16, 14, 9, 4, 18, 4, 4, 2, 1, 2, 9, 20, 10, 4 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`S. R. Finch, Class number theory` `R. Knott, An Introduction to Continued Fractions`
	EXAMPLE	`a(1)=1 because 2 is smallest square-free integer and sqrt 2 = [ 1,2,2,2,2... ] thus has an eventual period of 1.`
	CROSSREFS	`Cf. A003285, A013943.` `Adjacent sequences: A035012 A035013 A035014 this_sequence A035016 A035017 A035018` `Sequence in context: A123937 A138882 A074634 this_sequence A114791 A129994 A080246`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`David L. Treumann (alewifepurswest(AT)yahoo.com)`
	EXTENSIONS	`Corrected and extended by James A. Sellers (sellersj(AT)math.psu.edu)`

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.

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