Search: id:A035015
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%I A035015
%S A035015 1,2,1,2,4,1,2,5,4,2,1,6,6,6,4,1,5,2,8,4,4,2,1,2,2,3,2,10,12,4,2,5,4,6,
%T A035015 7,6,11,4,1,2,10,8,6,8,7,5,6,4,4,1,2,5,10,2,5,8,10,16,4,11,1,2,12,2,9,
%U A035015 6,15,2,6,9,6,10,10,4,1,2,12,10,3,6,16,14,9,4,18,4,4,2,1,2,9,20,10,4
%N A035015 Period of continued fraction for square root of n-th square-free integer.
%H A035015 S. R. Finch, <a href="http://algo.inria.fr/bsolve/">Class number theory</
               a>
%H A035015 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               cfINTRO.html">An Introduction to Continued Fractions</a>
%e A035015 a(1)=1 because 2 is smallest square-free integer and sqrt 2 = [ 1,2,2,
               2,2... ] thus has an eventual period of 1.
%Y A035015 Cf. A003285, A013943.
%Y A035015 Sequence in context: A138882 A074634 A152036 this_sequence A114791 A129994 
               A080246
%Y A035015 Adjacent sequences: A035012 A035013 A035014 this_sequence A035016 A035017 
               A035018
%K A035015 nonn,easy,nice
%O A035015 0,2
%A A035015 David L. Treumann (alewifepurswest(AT)yahoo.com)
%E A035015 Corrected and extended by James A. Sellers (sellersj(AT)math.psu.edu)

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