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 A031548 that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 50. 1
 2502, 2514, 2518, 2542, 2546, 2558, 2566, 2578, 2582, 2594, 2606, 2614, 2638, 2654, 2658, 2662, 2686, 2694, 2702, 5628, 5637, 5673, 5691, 5694, 5721, 5793, 5799, 5817, 5844, 5853, 5871, 5889, 5937, 5961, 5979, 5982, 5988, 5997, 6009, 6033, 6081, 10004 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 MATHEMATICA ct50Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {0}, ContinuedFraction[ s][[2]]]; len=Length[cf]; EvenQ[len]&& cf[[len/2]] == 50]; Select[Range[11000], ct50Q] (* Harvey P. Dale, May 10 2015 *) CROSSREFS Sequence in context: A120408 A031778 A031688 * A045216 A205175 A205274 Adjacent sequences: A031545 A031546 A031547 * A031549 A031550 A031551 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified September 28 20:32 EDT 2023. Contains 365737 sequences. (Running on oeis4.)