A091449 Array T(n,k) read by antidiagonals, where row n is the increasing sequence of numbers k for which the simple continued fraction of sqrt(k) has period n.

1, 2, 4, 3, 5, 9, 41, 6, 10, 16, 7, 130, 8, 17, 25, 13, 14, 268, 11, 26, 36, 19, 29, 23, 370, 12, 37, 49, 58, 21, 53, 28, 458, 15, 50, 64, 31, 73, 22, 74, 32, 697, 18, 65, 81, 106, 44, 202, 45, 85, 33, 986, 20, 82, 100, 43, 113, 69, 250, 52, 89, 34, 1313, 24, 101, 121

Offset

1,2

Comments

A permutation of the positive integers.

Links

Table of n, a(n) for n=1..66.

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(3,0)=7.
[The array T(n,k) is indexed by n=0,1,2,3,..., k=0,1,2,3... .]
Row 0 consists of squares: 1,4,9,...

Crossrefs

Cf. A002522, A013642, A091450, A091451, A091453.

Sequence in context: A072799 A214928 A240277 * A100834 A264996 A100826

Adjacent sequences: A091446 A091447 A091448 * A091450 A091451 A091452

Keyword

nonn,tabl

Author

Clark Kimberling, Feb 03 2004

Status

approved