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Search: id:A099896
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| A099896 |
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A permutation of the natural numbers where a(n) = n XOR [n/2] XOR [n/4]. |
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+0
5
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| 1, 3, 2, 7, 6, 4, 5, 14, 15, 13, 12, 9, 8, 10, 11, 28, 29, 31, 30, 27, 26, 24, 25, 18, 19, 17, 16, 21, 20, 22, 23, 56, 57, 59, 58, 63, 62, 60, 61, 54, 55, 53, 52, 49, 48, 50, 51, 36, 37, 39, 38, 35, 34, 32, 33, 42, 43, 41, 40, 45, 44, 46, 47, 112, 113, 115, 114, 119, 118, 116
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Related to Gray code numbers (A003188) since A003188(n) = n XOR [n/2].
Inverse: A100280; A100281(n) = a(a(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Nov 11 2004
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LINKS
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Index entries for sequences that are permutations of the natural numbers
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FORMULA
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XOR BINOMIAL transform begins: B={1, 2, 3, 7, 7, 0, 0, 14, 14, 0, 0, ...} and continues with B(2^k)=B(2^k+1)=7*2^(k-2) (for k>=2) and zeros elsewhere.
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PROGRAM
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(PARI) a(n)=bitxor(bitxor(n, n\2), n\4)
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CROSSREFS
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Cf. A003188, A099884.
Sequence in context: A093780 A101307 A096899 this_sequence A006068 A072764 A130328
Adjacent sequences: A099893 A099894 A099895 this_sequence A099897 A099898 A099899
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 09 2004
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