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%I #8 Jan 01 2024 13:53:55
%S 6,9,12,14,15,16,18,19,19,20,21,21,22,23,23,24,24,25,25,25,26,26,26,
%T 27,27,27,28,28,28,28,29,29,29,29,30,30,30,30,30,31,31,31,31,31,32,32,
%U 32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,35,35,35,35
%N Sequence related to Fibonacci and "tribonacci" sequences : let f(1)=1, f(2)=n, f(k+2)=f(k+1)+f(k), t(1)=t(2)=t(3)=1, t(k+3)=t(k+2)+t(k+1)+t(k) (t(k)=A000213(k-1)); sequence gives the smallest value k = a(n) such that t(k)>f(k).
%F Asymptotically: a(n)= C*Log(n) + 0(Log(n)) with C a constant = 8.2... (this constant doesn't depend on initial values f(1), t(1), t(2), t(3) while f(2)=n )
%Y Cf. A000045, A000213, A000204.
%K nonn
%O 1,1
%A _Benoit Cloitre_, Aug 05 2002
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