|
|
A013945
|
|
Least d such that period of continued fraction for sqrt(d) contains n (n^2+2 if n odd, (n/2)^2+1 if n even).
|
|
3
|
|
|
3, 2, 11, 5, 27, 10, 51, 17, 83, 26, 123, 37, 171, 50, 227, 65, 291, 82, 363, 101, 443, 122, 531, 145, 627, 170, 731, 197, 843, 226, 963, 257, 1091, 290, 1227, 325, 1371, 362, 1523, 401, 1683, 442, 1851, 485, 2027, 530, 2211, 577, 2403, 626, 2603, 677, 2811
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
a(3) = 11 because the continued fraction for the square root of 11 is 3, {3, 6}.
|
|
MATHEMATICA
|
Table[If[OddQ[n], n^2 + 2, (n/2)^2 + 1], {n, 100}] (* T. D. Noe, Feb 28 2012 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|