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%I #11 Sep 21 2017 04:01:22
%S 110,11101,10110,11101011,1110100111000,1110001101111,
%T 1100100110101100,1110011000111111,1100110101111011100,
%U 1000110010101111,1111101001000000010
%N Trajectory of binary number 110 (decimal 6) under the operation "Reverse and Add" carried out with complex base -1+i.
%H Kerry Mitchell, <a href="/A193240/b193240.txt">Table of n, a(n) for n = 0..500</a>
%H W. J. Gilbert, <a href="https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/arithmetic-in-complex-bases">Arithmetic in Complex Bases</a>, Mathematics Magazine, Vol. 57, No. 2 (Mar., 1984), pp. 77-81.
%e The initial term is 110. Using complex base -1+i, this is -1-i. Reversing 110 gives 011, which is 0+i. Adding both terms gives -1+0i, which is 11101, the second term.
%Y Cf A193239, number of steps needed to reach a palindrome with complex base -1+i. For that sequence, a(6)=-1, showing that decimal 6 (binary 110) seems to not reach a palindrome under the "Reverse and Add" iteration. Cf A193241, the trajectory of 10100 (decimal 20).
%K nonn,base
%O 0,1
%A _Kerry Mitchell_, Jul 19 2011
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