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A193241
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Trajectory of binary number 10100 (decimal 20) under the operation "Reverse and Add" carried out with complex base -1+i.
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2
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10100, 11100001, 11111011010, 1111110111101, 1111101110011110, 111010001110001001, 110011110000010000010, 10100101110110101001, 1110100101000001111001010000, 111010111010100100100000111, 111101010011100000011010100
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OFFSET
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0,1
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LINKS
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EXAMPLE
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The initial term is 10100. Using complex base -1+i, this is -4-2i. Reversing 10100 gives 00101, which is 1-2i. Adding both terms gives -3-4i, which is 11100001, the second term.
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CROSSREFS
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Cf A193239, number of steps needed to reach a palindrome with complex base -1+i. For that sequence, a(20)=-1, showing that decimal 20 (binary 10100) seems to not reach a palindrome under the "Reverse and Add" iteration. Cf A193240, the trajectory of 110 (decimal 6) under the "Reverse and Add" iteration with complex base -1+i.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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