A031867 - OEIS

A031867

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 99 ones.

48379, 56191, 69451, 75007, 107875, 118567, 137059, 145336, 157399, 190819, 194111, 230591, 230839, 248023, 253991, 261551, 287459, 318667, 325816, 343759, 368019, 370239, 391911, 392491, 409907, 424591, 442216, 446395, 448743, 460816

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Chai Wah Wu)

MATHEMATICA

cf99Q[n_]:=With[{s=Sqrt[n]}, If[IntegerQ[s], 1, Count[ContinuedFraction[s][[2]], 1]]==99]; Select[ Range[461000], cf99Q] (* Harvey P. Dale, Jun 20 2024 *)

CROSSREFS

Sequence in context: A253501 A253455 A233890 * A151839 A151876 A083627

Adjacent sequences: A031864 A031865 A031866 * A031868 A031869 A031870

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved