A031722 - OEIS

A031722

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 44.

485, 1938, 4359, 7748, 12105, 17430, 23723, 30984, 39213, 48410, 58575, 69708, 81809, 94878, 108915, 123920, 139893, 156834, 174743, 193620, 213465, 234278, 256059, 278808, 302525, 327210, 352863, 379484, 407073, 435630, 465155, 495648

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OFFSET

1,1

COMMENTS

a(n) = 484n^2 + n for n < 47, but a(47) = 1026214. - Charles R Greathouse IV, Aug 04 2017

LINKS

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

MATHEMATICA

cf44Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Min[ContinuedFraction[s][[2]]]]==44]; Select[Range[500000], cf44Q] (* Harvey P. Dale, Feb 05 2023 *)

CROSSREFS

Sequence in context: A013903 A160090 A158326 * A156774 A031632 A097767

Adjacent sequences: A031719 A031720 A031721 * A031723 A031724 A031725

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved