Search: id:A071679
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%I A071679
%S A071679 1,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,
%T A071679 17711,28657,46368,75025,121393,196418,317811,514229,832040,1346269,
%U A071679 2178309,3524578,5702887,9227465,14930352,24157817,39088169
%N A071679 Least k such that the maximum number of elements among the continued 
               fractions for k/1, k/2, k/3, k/4 ...., k/k equals n.
%F A071679 Smallest k such that n = Max { 1<=i<=k: Card[ contfrac(k/i) ] } a(1)=1 
               and for n>1: a(n)=F(n+2) where F(n)=A000045(n) are the Fibonacci 
               numbers.
%F A071679 G.f. : (1+x)^2/(1-x-x^2); a(n)=3F(n+1)-F(n-1)-0^n. - Paul Barry (pbarry(AT)wit.ie), 
               Jul 26 2004
%Y A071679 Sequence in context: A163685 A080614 A079122 this_sequence A020701 A024885 
               A133605
%Y A071679 Adjacent sequences: A071676 A071677 A071678 this_sequence A071680 A071681 
               A071682
%K A071679 easy,nonn
%O A071679 1,2
%A A071679 Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 22 2002

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