|
|
A031419
|
|
Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.
|
|
1
|
|
|
109, 281, 865, 922, 1277, 1613, 1769, 1933, 2161, 2341, 2789, 3098, 3653, 3961, 4285, 4457, 5065, 5153, 5713, 5858, 5954, 6101, 6458, 6554, 6709, 7129, 7349, 7681, 8237, 8941, 9242, 9305, 9677, 10177, 10498, 10565, 10693, 10762, 11162, 11365, 11698
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
MATHEMATICA
|
n = 1; t = {}; While[Length[t] < 50, n++; If[! IntegerQ[Sqrt[n]], c = ContinuedFraction[Sqrt[n]]; len = Length[c[[2]]]; If[OddQ[len] && c[[2, (len + 1)/2]] == 6 && c[[2, (len + 1)/2 - 1]] == 6, AppendTo[t, n]]]]; t (* T. D. Noe, Apr 04 2014; corrected by Georg Fischer, Jun 23 2019 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|