login
A091450
Transpose of A091449: array T(n,k) read by antidiagonals, where column n is the increasing sequence of numbers k for which the simple continued fraction of sqrt(k) has period n.
2
1, 4, 2, 9, 5, 3, 16, 10, 6, 41, 25, 17, 8, 130, 7, 36, 26, 11, 268, 14, 13, 49, 37, 12, 370, 23, 29, 19, 64, 50, 15, 458, 28, 53, 21, 58, 81, 65, 18, 697, 32, 74, 22, 73, 31, 100, 82, 20, 986, 33, 85, 45, 202, 44, 106, 121, 101, 24, 1313, 34, 89, 52, 250, 69, 113, 43
OFFSET
1,2
COMMENTS
A permutation of the positive integers.
EXAMPLE
The least n for which CF(sqrt(n)) has period of length 4 is n=7, with CF=[2;1,1,1,4,1,1,1,4,1,1,1,4,...]; thus T(0,3)=7.
[The array T(n,k) is indexed by n=0,1,2,3,..., k=0,1,2,3... .]
Column 0 consists of squares: 1,4,9,...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Feb 03 2004
STATUS
approved