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Search: id:A134027
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| A134027 |
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Numbers that are palindroms in balanced ternary representation. |
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+0
4
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| 0, 1, 4, 7, 10, 13, 16, 28, 40, 43, 52, 61, 73, 82, 91, 103, 112, 121, 124, 160, 196, 208, 244, 280, 292, 328, 364, 367, 394, 421, 457, 484, 511, 547, 574, 601, 613, 640, 667, 703, 730, 757, 793, 820, 847, 859, 886, 913, 949, 976, 1003, 1039, 1066, 1093, 1096
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A134028(a(n)) = a(n).
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REFERENCES
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D. E. Knuth, The Art of Computer Programming, Addison-Wesley, Reading, MA, Vol 2, pp 173-175.
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LINKS
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Eric Weisstein's World of Mathematics, Palindromic Number
Wikipedia, Balanced Ternary
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EXAMPLE
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a(10) = 43 = 1*3^4 - 1*3^3 - 1*3^2 - 1*3^1 + 1*3^0 == '+---+';
a(11) = 52 = 1*3^4 - 1*3^3 + 0*3^2 - 1*3^1 + 1*3^0 == '+-0-+';
a(12) = 61 = 1*3^4 - 1*3^3 + 1*3^2 - 1*3^1 + 1*3^0 == '+-+-+';
a(13) = 73 = 1*3^4 + 0*3^3 - 1*3^2 + 0*3^1 + 1*3^0 == '+0-0+'.
a(13) = 73 = 1*3^4 + 0*3^3 - 1*3^2 + 0*3^1 + 1*3^0 == '+0-0+'.
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CROSSREFS
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Cf. A014190.
Sequence in context: A090852 A090955 A137281 this_sequence A143455 A087065 A001197
Adjacent sequences: A134024 A134025 A134026 this_sequence A134028 A134029 A134030
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 19 2007
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