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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A020400 Numbers k such that the continued fraction for sqrt(k) has period 61. 0 2053, 2909, 4177, 6197, 7594, 9385, 9865, 9985, 10825, 10954, 11306, 11425, 11657, 12266, 12713, 13234, 14381, 14386, 14489, 14753, 14765, 15034, 15329, 15497, 16241, 16369, 16937, 17642, 18610, 19013, 19562, 19930, 20098, 20245, 21970, 22189, 24250 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 LINKS Table of n, a(n) for n=1..37. MATHEMATICA cf61Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Length[ ContinuedFraction[ s][[2]]]]==61]; Select[Range[25000], cf61Q] (* Harvey P. Dale, Aug 07 2021 *) CROSSREFS Cf. A003285. Sequence in context: A168190 A238934 A084550 * A068723 A252187 A252509 Adjacent sequences: A020397 A020398 A020399 * A020401 A020402 A020403 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified August 18 19:11 EDT 2024. Contains 375273 sequences. (Running on oeis4.)