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A225843 Integral parts of sums of the reciprocals of the Collatz (3x+1) sequence starting with n.

%I A225843 #4 May 16 2013 16:56:29
%S A225843 1,1,2,1,2,2,2,1,3,2,2,2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,
%T A225843 2,3,2,2,2,2,2,2,3,2,2,2,2,2,3,2,2,2,2,2,2,2,3,2,2,2,2,2,2,1,3,2,2,2,
%U A225843 2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,3
%N A225843 Integral parts of sums of the reciprocals of the Collatz (3x+1) sequence starting with n.
%C A225843 a(n) = floor(sum(1/A070165(n,k): k = 1..A006577(n)));
%C A225843 conjecture: a(n) <= 3;
%C A225843 a(n) = 1 iff n = 2^k: a(A000079(n)) = 1, a(A057716(n)) > 1.
%H A225843 Reinhard Zumkeller, <a href="/A225843/b225843.txt">Table of n, a(n) for n = 1..10000</a>
%H A225843 <a href="/index/3#3x1">Index entries for sequences related to 3x+1 (or Collatz) problem</a>
%F A225843 a(n) = floor(A225761(n)/A225784(n)).
%o A225843 (Haskell)
%o A225843 a225843 = floor . sum . map (recip . fromIntegral) . a070165_row
%K A225843 nonn
%O A225843 1,3
%A A225843 _Reinhard Zumkeller_, May 16 2013