A031822 - OEIS

A031822

Period of continued fraction for sqrt(n) contains exactly 54 ones.

3931, 3964, 4084, 4447, 5164, 5443, 5641, 5869, 5884, 6049, 6124, 6301, 6913, 6991, 7204, 7507, 7687, 7699, 7804, 8068, 8389, 8431, 9097, 9157, 9201, 9337, 9421, 9461, 9508, 9524, 9643, 9853, 10393, 10409, 10519, 10993, 11069, 11309, 11851, 11887

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..40.

MATHEMATICA

cf54Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 0, Count[ ContinuedFraction[ s][[2]], 1]]==54]; Select[Range[12000], cf54Q] (* Harvey P. Dale, Oct 02 2016 *)

CROSSREFS

Sequence in context: A179139 A014887 A251823 * A288894 A289563 A198641

Adjacent sequences: A031819 A031820 A031821 * A031823 A031824 A031825

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved