A010339 Numbers k such that the continued fraction for sqrt(k) has period 9.

106, 113, 137, 149, 265, 389, 493, 610, 698, 754, 970, 1037, 1258, 1418, 1450, 1586, 1618, 1781, 1882, 1949, 2554, 2570, 2725, 3074, 3869, 4082, 4505, 4825, 5090, 5213, 5309, 5722, 6266, 6305, 6530, 6749, 6757, 6994, 7013, 7178, 7202, 7538, 7873, 8501, 8545, 8882

Offset

1,1

Links

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

Mathematica

q[k_] := Module[{c = ContinuedFraction[Sqrt[k]]}, Length[c] == 2 && Length[c[[2]]] == 9]; Select[Range[10000], q] (* Amiram Eldar, Aug 21 2025 *)

Crossrefs

Sequence in context: A338602 A181739 A178314 * A277605 A102804 A192994

Adjacent sequences: A010336 A010337 A010338 * A010340 A010341 A010342

Keyword

nonn

Author

N. J. A. Sloane and Walter Gilbert

Status

approved