A031744 - OEIS

A031744

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 66.

1090, 4358, 9804, 17428, 27230, 39210, 53368, 69704, 88218, 108910, 131780, 156828, 184054, 213458, 245040, 278800, 314738, 352854, 393148, 435620, 480270, 527098, 576104, 627288, 680650, 736190, 793908, 853804, 915878, 980130, 1046560, 1115168

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

OFFSET

1,1

COMMENTS

a(n) = 1089n^2 + n for n < 69, but a(69) = 5040092. - Charles R Greathouse IV, Aug 04 2017

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

MATHEMATICA

lt66Q[n_]:=Module[{s=Sqrt[n], c}, c=If[IntegerQ[s], 1, Min[ ContinuedFraction[ s ][[2]]]]; c==66]; Select[Range[1120000], lt66Q] (* Harvey P. Dale, Nov 10 2013 *)

CROSSREFS

Sequence in context: A023101 A169977 A345408 * A031654 A031531 A161118

Adjacent sequences: A031741 A031742 A031743 * A031745 A031746 A031747

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved