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A031728 Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 50. 1
626, 2502, 5628, 10004, 15630, 22506, 30632, 40008, 50634, 62510, 75636, 90012, 105638, 122514, 140640, 160016, 180642, 202518, 225644, 250020, 275646, 302522, 330648, 360024, 390650, 422526, 455652, 490028, 525654, 562530, 600656, 640032 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = 625n^2 + n for n < 53, but a(53) = 1692652. - Charles R Greathouse IV, Aug 04 2017

LINKS

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

MATHEMATICA

lt50Q[n_]:=Module[{s=Sqrt[n]}, !IntegerQ[s]&&Min[ContinuedFraction[s][[2]]]==50]; Select[Range[641000], lt50Q] (* Harvey P. Dale, Mar 05 2013 *)

CROSSREFS

Sequence in context: A345513 A345766 A158383 * A031638 A098262 A031523

Adjacent sequences:  A031725 A031726 A031727 * A031729 A031730 A031731

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified January 26 06:23 EST 2022. Contains 350572 sequences. (Running on oeis4.)