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%I #8 Jan 15 2022 23:35:35
%S 0,2,2,7,4,3,4,8,7,41,15,15,18,10,8,17,10,12,10,5,9,9,10,11,14,39,12,
%T 33,65,9,31,6,23,26,6,71,98,22,43,20,26,4,33,12,36,128,43,18,10,81,28,
%U 54,24,12,8,38,19,10,41,36,83,32,9,9,12,13,60,58,19,32
%N Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n*(n+1)) and iterating the map x -> x*ceiling(x), or -1 if no integer is ever reached.
%e a(5)=4 since 1 + 2/(5*6) = 1 + 1/15 = 16/15 -> 32/15 -> 32/5 -> 224/5 -> 2016=A075429(5).
%Y Cf. A000217, A073524, A075429.
%K nonn
%O 1,2
%A _Reinhard Zumkeller_, Sep 16 2002
%E More terms from _Jinyuan Wang_, Jan 15 2022