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Least k such that A074286^(k)(n) = 1 where a^(k) = a(a^(k-1)).
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%I #17 Dec 22 2024 16:28:35

%S 1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,

%T 5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,

%U 6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7

%N Least k such that A074286^(k)(n) = 1 where a^(k) = a(a^(k-1)).

%D Benoit Cloitre, Experimental evidence for the Keane's conjecture, preprint 2011

%F Conjecture: a(n)=floor(log(n)/log(2))+0 or +1.

%o (PARI) a(n)=if(n<0,0,t=n;c=1;while(A074286(t)>1,t=A074286(t);c++);c)

%Y Cf. A074286.

%K nonn

%O 1,3

%A _Benoit Cloitre_, Feb 14 2011