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.

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.

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(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

Cf. A002522, A013642, A091449, A091451, A091453.

Sequence in context: A091452 A194032 A191739 * A163253 A191663 A206561

Adjacent sequences: A091447 A091448 A091449 * A091451 A091452 A091453

Keyword

nonn,tabl

Author

Clark Kimberling, Feb 03 2004

Status

approved