A031769 Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 91.

8283, 33128, 74535, 132504, 207035, 298128, 405783, 530000, 670779, 828120, 1002023, 1192488, 1399515, 1623104, 1863255, 2119968, 2393243, 2683080, 2989479, 3312440, 3651963, 4008048, 4380695, 4769904, 5175675, 5598008, 6036903, 6492360

Offset

1,1

Comments

(91*m)^2+2*m for m >= 1 is a proper subsequence. It is a subsequence (see comment in A031749) and the term 69339112 is not of this form. - Chai Wah Wu, Jun 19 2016

Links

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

Mathematica

cf91Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Min[ContinuedFraction[s][[2]]]]==91]; Select[Range[65*10^5], cf91Q] (* Harvey P. Dale, Oct 08 2016 *)

Crossrefs

Sequence in context: A145527 A054215 A031589 * A280872 A329342 A237948

Adjacent sequences: A031766 A031767 A031768 * A031770 A031771 A031772

Keyword

nonn

Author

David W. Wilson

Status

approved