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%I #4 Mar 30 2012 18:36:38
%S 1,2,3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,5,3,3,3,3,4,3,3,3,4,3,3,
%T 3,4,3,3,3,5,3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,5,3,3,3,3,4,3,3,3,4,3,3,
%U 3,4,3,3,3,5,3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,6,3,3,3,3,3,4,3,3,3,4,3,3,3,4
%N Satisfies a(1)=1, a(A087163(n+1)) = a(n)+1, with a(m)=3 for all m not found in A087163, where A087163(n+2)=A087163(n+1)+a(n)+1.
%F Records occur at A087164: a(A087164(n))=n.
%e Initialize all terms to 3. Set a(1)=1, go one term forward,
%e set a(2)=a(1)+1=2, go 2 terms forward,
%e set a(4)=a(2)+1=3, go 3 terms forward,
%e set a(7)=a(3)+1=4, go 4 terms forward,
%e set a(11)=a(4)+1=4, go 4 terms forward,
%e set a(15)=a(5)+1=4, etc.
%e The indices 1,2,4,7,11,15,... form A087163.
%Y Cf. A087163, A087164.
%K nonn
%O 1,2
%A _Paul D. Hanna_, Aug 22 2003