

A098458


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


1



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
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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, SternBrocot 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 A196841
Adjacent sequences: A098455 A098456 A098457 * A098459 A098460 A098461


KEYWORD

nonn


AUTHOR

John W. Layman, Sep 08 2004


STATUS

approved



