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A354886
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Numbers that are palindromes in both ternary and balanced ternary representations with representations that are different.
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2
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16, 52, 160, 484, 1312, 1456, 3904, 4372, 11680, 12688, 13120, 35008, 37960, 39364, 104992, 106288, 113776, 116800, 118096, 314944, 319156, 341224, 350080, 354292, 944800, 948688, 957760, 1023568, 1027456, 1049920, 1058992, 1062880, 2834368, 2847004, 2873572
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OFFSET
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1,1
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COMMENTS
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Is a(n) == 16 (mod 18) for all n?
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LINKS
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FORMULA
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EXAMPLE
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16 is a term since its ternary representation is 121 and its balanced ternary representation (with 2 standing for the -1 digit) is 1221, and both are palindromes.
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MATHEMATICA
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Select[Range[0, 3*10^6], PalindromeQ[d3 = IntegerDigits[#, 3]] && PalindromeQ[db3 = balTernDigits[#]] && d3 != db3 &] (* using balTernDigits by Robert G. Wilson v at A134027 *)
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CROSSREFS
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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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