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URL: https://oeis.org/A020373

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A020373
Numbers k such that the continued fraction for sqrt(k) has period 34.
1
331, 454, 921, 964, 1252, 1390, 1451, 1474, 1713, 1796, 1814, 1846, 1915, 1939, 2009, 2071, 2086, 2102, 2110, 2189, 2227, 2468, 2559, 2579, 2596, 2612, 2676, 2701, 2740, 2866, 2905, 2963, 2991, 2994, 3017, 3033, 3083, 3094, 3101, 3153, 3291, 3316, 3351
OFFSET
1,1
LINKS
MATHEMATICA
q[k_] := Module[{c = ContinuedFraction[Sqrt[k]]}, Length[c] == 2 && Length[c[[2]]] == 34]; Select[Range[4000], q] (* Amiram Eldar, Aug 22 2025 *)
CROSSREFS
Sequence in context: A140000 A248535 A142763 * A385180 A385169 A142601
KEYWORD
nonn
STATUS
approved