A028832 Number of distinct integers in period of continued fraction for sqrt(n), or 0 if n is a square.

0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 0, 1, 2, 4, 2, 3, 4, 3, 2, 0, 1, 2, 3, 3, 2, 4, 2, 3, 3, 2, 0, 1, 2, 2, 2, 2, 2, 4, 3, 3, 5, 3, 2, 0, 1, 2, 4, 3, 4, 2, 2, 3, 2, 4, 3, 5, 3, 2, 0, 1, 2, 5, 2, 4, 3, 4, 2, 3, 2, 2, 5, 4, 3, 3, 2, 0, 1, 2, 2, 3, 4, 2, 3, 3, 2, 3, 4, 4, 6, 3, 3, 3, 3, 2, 0, 1, 2

Offset: 1

Author

Olivier Gérard

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A054269.

Programs

Mathematica

a[n_] := If[IntegerQ @ Sqrt[n], 0, Length @ DeleteDuplicates @ ContinuedFraction[Sqrt[n]][[2]]]; Array[a, 100] (* Amiram Eldar, Nov 10 2021 *)