

A096491


a(n) = sqrt(n) of n if n is a perfect square, otherwise a(n) = largest term in period of continued fraction expansion of square root of n.


7



1, 2, 2, 2, 4, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..80.


EXAMPLE

n=127: the period={3,1,2,2,7,11,7,2,2,1,3,22}, max=a[127]=22;


MAPLE

A096491 := proc(n)
if issqr(n) then
sqrt(n) ;
else
numtheory[cfrac](sqrt(n), 'periodic', 'quotients') ;
%[2] ;
max(op(%)) ;
end if;
end proc:
# R. J. Mathar, Mar 18 2010


MATHEMATICA

u=1; Do[s=Max[Last[ContinuedFraction[n^(1/2)]]]; tc[[u]]=s; u=u+1, {n, 1, m}]


CROSSREFS

Cf. A003285, A013646.
Sequence in context: A087627 A195051 A219654 * A217871 A306390 A106160
Adjacent sequences: A096488 A096489 A096490 * A096492 A096493 A096494


KEYWORD

cofr,nonn


AUTHOR

Labos Elemer, Jun 29 2004


EXTENSIONS

Definition revised by N. J. A. Sloane, Mar 18 2010


STATUS

approved



