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A163241
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Simple self-inverse permutation: Write n in base 4, then replace each digit '2' by '3' and vice versa, then convert back to decimal.
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9
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0, 1, 3, 2, 4, 5, 7, 6, 12, 13, 15, 14, 8, 9, 11, 10, 16, 17, 19, 18, 20, 21, 23, 22, 28, 29, 31, 30, 24, 25, 27, 26, 48, 49, 51, 50, 52, 53, 55, 54, 60, 61, 63, 62, 56, 57, 59, 58, 32, 33, 35, 34, 36, 37, 39, 38, 44, 45, 47, 46, 40, 41, 43, 42, 64, 65, 67, 66, 68, 69, 71, 70
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OFFSET
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0,3
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LINKS
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A. Karttunen, Table of n, a(n) for n = 0..1023
Index entries for sequences that are permutations of the natural numbers
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FORMULA
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a(n) = A000695(A003987bi(A059905(n),A059906(n))) + 2*A000695(A059906(n)), where A003987bi is binary XOR.
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EXAMPLE
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43 in quaternary base (A007090) is written as '223' (2*16 + 2*4 + 3), which is then mapped to '332' = 3*16 + 3*4 + 2 = 62, thus a(43) = 62, and likewise a(62) = 43.
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MATHEMATICA
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Table[FromDigits[IntegerDigits[n, 4]/.{2->a, 3->b}/.{a->3, b->2}, 4], {n, 0, 75}] (* From Harvey P. Dale, Nov 29 2011 *)
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PROG
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(Scheme) (define (A163241 n) (+ (A000695 (A003987bi (A059905 n) (A059906 n))) (* 2 (A000695 (A059906 n)))))
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CROSSREFS
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Cf. A048647, A007090, A003987.
Sequence in context: A117123 A116966 A182187 * A165279 A125060 A039882
Adjacent sequences: A163238 A163239 A163240 * A163242 A163243 A163244
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KEYWORD
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nonn,base,easy
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AUTHOR
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Antti Karttunen, Jul 29 2009
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EXTENSIONS
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Edited by Charles R Greathouse IV, Nov 01 2009
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STATUS
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approved
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