Search: id:A079937
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%I A079937
%S A079937 1,2,14,45,107,138,276,414,1135,2270,6672,12209,18881,180865
%N A079937 Greedy frac multiples of Pi^2/6: a(1)=1, sum(n>0,frac(a(n)*x))=1 at x=Pi^2/
               6.
%C A079937 The n-th greedy frac multiple of x is the smallest integer that does 
               not cause sum(k=1..n,frac(a(k)*x)) to exceed unity; an infinite number 
               of terms appear as the denominators of the convergents to the continued 
               fraction of x.
%e A079937 a(4) = 45 since frac(1x) + frac(2x) + frac(14x) + frac(45x) < 1, while 
               frac(1x) + frac(2x) + frac(14x) + frac(k*x) > 1 for all k>14 and 
               k<45.
%Y A079937 Cf. A080017 (denominators of convergents to Pi^2/6), A079934, A079938, 
               A079939.
%Y A079937 Sequence in context: A091405 A085929 A036659 this_sequence A083102 A056080 
               A163796
%Y A079937 Adjacent sequences: A079934 A079935 A079936 this_sequence A079938 A079939 
               A079940
%K A079937 nonn
%O A079937 1,2
%A A079937 Benoit Cloitre (benoit7848c(AT)orange.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), 
               Jan 21 2003

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