A193240 Trajectory of binary number 110 (decimal 6) under the operation "Reverse and Add" carried out with complex base -1+i.

110, 11101, 10110, 11101011, 1110100111000, 1110001101111, 1100100110101100, 1110011000111111, 1100110101111011100, 1000110010101111, 1111101001000000010

Offset

0,1

Links

Kerry Mitchell, Table of n, a(n) for n = 0..500

W. J. Gilbert, Arithmetic in Complex Bases, Mathematics Magazine, Vol. 57, No. 2 (Mar., 1984), pp. 77-81.

Example

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.

Crossrefs

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).

Sequence in context: A267688 A211979 A135650 * A267775 A267867 A267889

Adjacent sequences: A193237 A193238 A193239 * A193241 A193242 A193243

Keyword

nonn,base

Author

Kerry Mitchell, Jul 19 2011

Status

approved