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 A031532 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 34. 1
 1158, 1174, 1186, 1198, 1202, 1206, 1214, 1234, 1238, 1246, 1254, 1262, 1266, 1282, 1286, 1294, 2604, 2613, 2631, 2649, 2661, 2667, 2676, 2721, 2733, 2757, 2769, 2793, 2841, 2847, 2883, 2886, 2901, 2913, 4628, 4652, 4660, 4668, 4684, 4700, 4716, 4724 (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 cf34Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {1}, ContinuedFraction[ s][[2]]]; len=Length[cf]; EvenQ[len]&&cf[[(len)/2]] == 34]; Select[Range[5000], cf34Q] (* Harvey P. Dale, Nov 29 2019 *) CROSSREFS Sequence in context: A204478 A031746 A219148 * A168248 A237205 A358868 Adjacent sequences: A031529 A031530 A031531 * A031533 A031534 A031535 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified October 1 08:23 EDT 2023. Contains 365817 sequences. (Running on oeis4.)