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 A031550 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 52. 1
 2706, 2722, 2734, 2774, 2786, 2798, 2802, 2818, 2838, 2846, 2854, 2866, 2878, 2882, 2894, 2902, 2914, 6087, 6117, 6126, 6132, 6159, 6189, 6213, 6231, 6249, 6261, 6276, 6297, 6321, 6333, 6357, 6369, 6393, 6411, 6414, 6429, 6513, 6537, 6549, 6558, 10820 (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 cfQ[n_]:=Module[{sqr=Sqrt[n], c}, If[IntegerQ[sqr], c={1}, c=ContinuedFraction[ sqr][[2]]]; EvenQ[Length[c]]&&c[[Length[c]/2]]==52]; Select[Range[11000], cfQ] (* Harvey P. Dale, Nov 28 2012 *) CROSSREFS Sequence in context: A281838 A205605 A205436 * A083615 A205750 A205472 Adjacent sequences: A031547 A031548 A031549 * A031551 A031552 A031553 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified June 9 13:19 EDT 2023. Contains 363180 sequences. (Running on oeis4.)