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A087996
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Residues when (n+rev[n]) is divided by abs(n-rev[n]); zero if n=rev[n] (when n is palindromic), or when the quotient is integer (see A087993).
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0
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0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 8, 1, 30, 32, 34, 36, 38, 4, 6, 0, 1, 12, 23, 16, 9, 2, 58, 6, 8, 1, 0, 5, 16, 18, 2, 31, 24, 8, 1, 12, 5, 0, 0, 2, 13, 24, 8, 10, 30, 23, 16, 0, 0, 4, 6, 8, 10, 12, 32, 16, 18, 2, 4, 0, 8, 10, 3, 14, 34, 9, 2, 13, 6, 8, 0, 3, 14, 16, 36, 2, 31, 24, 8, 10, 3, 0, 7
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OFFSET
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1,10
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LINKS
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FORMULA
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a(n)=Mod[n+rev(n), abs[n-rev(n)]] if n is non-palindromic or is non-integer; a(n)=0 otherwise.
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MATHEMATICA
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dm[n_]:=Module[{rev=FromDigits[Reverse[IntegerDigits[n]]]}, If[n == rev, 0, Mod[ n+rev, Abs[n-rev]]]]; Array[dm, 90] (* Harvey P. Dale, Feb 20 2013 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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