|
%I #7 Mar 30 2012 18:39:22
%S 1,2,2,3,2,3,4,3,4,2,3,4,3,4,5,6,4,5,6,3,4,5,6,4,5,2,3,4,3,4,5,6,4,5,
%T 6,3,4,5,6,4,5,6,7,8,5,6,7,8,9,10,6,7,8,9,4,5,6,7,8,5,6,7,8,9,10,6,7,
%U 8,3,4,5,6,4,5,6,7,8,5,6,7,8,9,10,6,7,8,9,4,5,6,7,8,5,6,2,3,4,3,4,5,6,4,5,6
%N a(1)=1, a(2)=2, then a(a(1)+a(2)+...+a(k))=a(k), fill in any undefined places with the rule a(n+1)=a(n)+1.
%F Is sum(k=1, n, a(k)) asymptotic to c*n*log(n)*log(log(n)) with c=0.6...?
%e a(a(1)+a(2))=a(2) therefore a(3)=a(2)=2. a(a(1)+a(2)+a(3))=a(3) therefore a(5)=2. So a(4) is undefined but from the rule a(4)=a(3)+1=3.
%Y Cf. A091309.
%K nonn
%O 1,2
%A _Benoit Cloitre_, Feb 20 2004
|
