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A186107 Numerator of the frequency of the n-th dropping time in the Collatz iteration. 3

%I #6 Mar 30 2012 17:22:57

%S 1,1,1,1,3,7,3,15,85,173,119,961,663,8045,17637,51033,54475,312455,

%T 663535,950235,5936673,1684037,39993895,87986917,128989251,205059181,

%U 949737339,2861515293,400296173,19018424205

%N Numerator of the frequency of the n-th dropping time in the Collatz iteration.

%C The possible dropping times are in A020914. The denominators are in A186108. The cumulative frequency of the dropping time is A186109(n)/A186110(n).

%H <a href="/index/3#3x1">Index entries for sequences related to 3x+1 (or Collatz) problem</a>

%F a(n) = numerator of A186009(n) / 2^A020914(n-1).

%e The frequencies are 1/2, 1/4, 1/16, 1/16, 3/128, 7/256, 3/256, 15/2048, 85/8192,....

%Y Cf. A126241 (dropping times)

%K nonn,frac

%O 1,5

%A _T. D. Noe_, Feb 12 2011

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Last modified July 16 04:20 EDT 2024. Contains 374343 sequences. (Running on oeis4.)