

A031766


Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 88.


1



1937, 7746, 17427, 30980, 48405, 69702, 94871, 123912, 156825, 193610, 234267, 278796, 327197, 379470, 435615, 495632, 559521, 627282, 698915, 774420, 853797, 937046, 1024167, 1115160, 1210025, 1308762, 1411371, 1517852, 1628205, 1742430
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

If r is even, then the least term of the continued fraction of (r*m/2)^2+m is r for all m >= 1. On the other hand, the least term of the continued fraction of r^4/4 + r^3 + 2r^2 + 3r+2 is also r but it is not of the form (r*m/2)^2+m.
If r is odd, then the least term of the continued fraction of (r*m)^2+2m is r for all m >= 1 and the least term of the continued fraction of r^4 + r^3 + 5*(r+1)^2/4 is also r but it is not of the form (r*m)^2+2m.
This means that 1936*m^2 + m are terms of the sequence for all m >= 1 and 15689610 is also a term but not of the form 1936*m^2 + m.
(End)


LINKS



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



