A031527 Numbers k such 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 29.

843, 859, 863, 867, 883, 887, 907, 911, 919, 947, 959, 3368, 3392, 3424, 3456, 3488, 3520, 3552, 3584, 3616, 3648, 3656, 3680, 3688, 3712, 3776, 3840, 7575, 7635, 7647, 7719, 7779, 7851, 7863, 8079, 8223, 8355, 8367, 8427, 8439, 8511, 8571, 8583, 8643

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Mathematica

cf29Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {1}, ContinuedFraction[ s][[2]]]; len=Length[cf]; EvenQ[len]&& cf[[len/2 ]] == 29]; Select[Range[9000], cf29Q] (* Harvey P. Dale, Jul 18 2021 *)

Crossrefs

Sequence in context: A031736 A154473 A093242 * A252568 A045243 A368778

Adjacent sequences: A031524 A031525 A031526 * A031528 A031529 A031530

Keyword

nonn

Author

David W. Wilson

Status

approved