%I A057873
%S A057873 1,1,2,5,13,29,149,217,449,855,1578,2834,5445,9425,17054,30095,53610,
%T A057873 94905,170505,300335,532606,942870,1669907,2957734,5236935,9271871,
%U A057873 16416945,29066281,51463071,91587523,161792680,286563514,507342270
%N A057873 a(1) = 1; a(n+1) = sum of terms in continued fraction for sum{k=1 to 
               n}[a(n+1-k)/a(k)].
%H A057873 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A057873 Sum{k=1 to 4}[a(5-k)/a(k)] = 5/1 +2/1 +1/2 +1/5 = 77/10 =7 +1/(1 +1/(2 
               +1/3)). So a(5) = 7 +1 +2 +3 = 13.
%Y A057873 Sequence in context: A091270 A045703 A122025 this_sequence A116699 A054127 
               A018012
%Y A057873 Adjacent sequences: A057870 A057871 A057872 this_sequence A057874 A057875 
               A057876
%K A057873 easy,nonn
%O A057873 1,3
%A A057873 Leroy Quet Nov 19 2000