A098458 Periods of the Farey Bisection Expansions (FBE) of Sqrt[n], for n=1,2,3,...

1, 4, 3, 1, 8, 6, 7, 5, 1, 12, 9, 8, 20, 10, 7, 1, 16, 12, 17, 10, 14, 18, 13, 9, 1, 20, 15, 18, 32, 12, 25, 13, 14, 16, 11, 1, 24, 18, 16, 15, 32, 14, 29, 20, 20, 34, 19, 13, 1, 28

Offset

1,2

Comments

See A098457 for the definition of the Farey Bisection Expansion.

Links

Table of n, a(n) for n=1..50.

N. J. A. Sloane, Stern-Brocot or Farey Tree

Example

The FBE of Sqrt[7] is {1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,..
with period 7. Thus a(7)=7.

Crossrefs

Cf. A010121, A097853, A098457.

Sequence in context: A038763 A200384 A128007 * A165914 A139621 A305621

Adjacent sequences: A098455 A098456 A098457 * A098459 A098460 A098461

Keyword

nonn

Author

John W. Layman, Sep 08 2004

Status

approved