

A031602


Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 14.


0



50, 1321, 2549, 2753, 4177, 4570, 6521, 6845, 12106, 15173, 15418, 19961, 23545, 26773, 27754, 28418, 28753, 29429, 31601, 31954, 32309, 32666, 33386, 33749, 34114, 34481, 35221, 36829, 40729, 41645, 42457, 45785, 46637, 47497, 48485, 51137, 53402
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS



MATHEMATICA

cfo14Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {}, ContinuedFraction[ s][[2]]]; len=Length[cf]; OddQ[len] && cf[[(len+1)/2]] == 14]; Select[Range[54000], cfo14Q] (* Harvey P. Dale, Dec 10 2013 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



