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A097853 Period of continued fraction for square root of n (or 1 if n is a square). 6
1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 2, 2, 5, 4, 2, 1, 1, 2, 6, 2, 6, 6, 4, 2, 1, 1, 2, 4, 5, 2, 8, 4, 4, 4, 2, 1, 1, 2, 2, 2, 3, 2, 10, 8, 6, 12, 4, 2, 1, 1, 2, 6, 5, 6, 4, 2, 6, 7, 6, 4, 11, 4, 2, 1, 1, 2, 10, 2, 8, 6, 8, 2, 7, 5, 4, 12, 6, 4, 4, 2, 1, 1, 2, 2, 5, 10, 2, 6, 5, 2, 8, 8, 10, 16, 4, 4, 11, 4, 2, 1, 1, 2, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..103.

EXAMPLE

1 is a square. 2 has continued fraction [1;2,2,2...], 3 has [1;1,2,1,2,1,2...]. - Georg Fischer, Jun 14 2019

MAPLE

a:= n-> `if`(issqr(n), 1, nops(numtheory[cfrac](

         sqrt(n), 'periodic', 'quotients')[2])):

seq(a(n), n=1..120);  # Alois P. Heinz, Jun 14 2019

CROSSREFS

See A003285, which is the main entry for this sequence.

Sequence in context: A293176 A297170 A127309 * A160266 A322134 A023504

Adjacent sequences:  A097850 A097851 A097852 * A097854 A097855 A097856

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Sep 01 2004

STATUS

approved

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Last modified October 18 18:56 EDT 2019. Contains 328197 sequences. (Running on oeis4.)