A031795 - OEIS

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A031795

Period of continued fraction for sqrt(n) contains exactly 27 ones.

5539, 7099, 11227, 11651, 12367, 15007, 15343, 17763, 18091, 19027, 24287, 24779, 24895, 28408, 28792, 32248, 35375, 39183, 39783, 40255, 40888, 42355, 44239, 44951, 45123, 45171, 45671, 46096, 46779, 49864, 50803, 50944, 51895, 52235, 52599, 53215 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Are there any prime numbers in this sequence? - Zak Seidov, Feb 18 2012`
	LINKS	`Zak Seidov, Table of n, a(n) for n = 1..1000`
	MATHEMATICA	`cf27Q[n_]:=Module[{sqrtn=Sqrt[n]}, !IntegerQ[sqrtn]&&Count[ ContinuedFraction[ sqrtn][[2]], 1]==27]; Select[Range[55000], cf27Q] (* Harvey P. Dale, Feb 18 2012 *)`
	CROSSREFS	`Sequence in context: A164079 A278012 A255100 * A180267 A203336 A045104` `Adjacent sequences: A031792 A031793 A031794 * A031796 A031797 A031798`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson`
	STATUS	`approved`

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Last modified January 19 20:17 EST 2021. Contains 340269 sequences. (Running on oeis4.)