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A193239
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Number of "Reverse and Add" steps needed to reach a palindrome using the complex base -1+i, or -1 if a palindrome is never reached.
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5
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0, 0, 1, 0, 1, 0, -1, 0, 1, 0, 1, 6, 1, 6, 1, 0, 1, 0, 1, 4, -1, 0, -1, -1, 1, 4, -1, 0, -1, -1, 5, 0, 1, 0, 1, 6, 1, -1, 1, -1, 1, -1, 1, -1, -1, 0, 7, -1, 1, 6, 7, 0, 1, -1, 1, 2, 1, -1, 1, 2, 7, -1, -1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 3, 0, -1, -1, 9, 2, 1
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OFFSET
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0,12
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COMMENTS
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N is converted to its binary representation before iterating.
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LINKS
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EXAMPLE
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Decimal 2 is 10 in binary, which is -1+i using complex base -1+i. Reversing 10 gives 01, or 1+0i. Adding both results in 0+i, or 11 using the complex base, which is a palindrome. Decimal 2 took 1 step to reach a palindrome, so a(2) = 1.
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CROSSREFS
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Cf. A033665 gives the steps to reach a palindrome in base 10.
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KEYWORD
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base,sign
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AUTHOR
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STATUS
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approved
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