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A268823
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Permutation of nonnegative integers: a(0) = 0, a(n) = A268717(1 + A268821(n-1)).
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10
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0, 1, 3, 2, 6, 5, 7, 15, 13, 4, 12, 27, 25, 8, 24, 14, 10, 9, 11, 51, 49, 16, 48, 22, 18, 17, 19, 26, 30, 29, 31, 23, 21, 28, 20, 99, 97, 32, 96, 38, 34, 33, 35, 42, 46, 45, 47, 39, 37, 44, 36, 50, 54, 53, 55, 63, 61, 52, 60, 43, 41, 56, 40, 62, 58, 57, 59, 195, 193, 64, 192, 70, 66, 65, 67, 74, 78, 77, 79, 71, 69, 76, 68, 82, 86, 85
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OFFSET
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0,3
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COMMENTS
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The "third shifted power" of permutation A268717.
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LINKS
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FORMULA
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PROG
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(PARI) A003188(n) = bitxor(n, floor(n/2));
A006068(n) = if(n<2, n, {my(m = A006068(floor(n/2))); 2*m + (n%2 + m%2)%2});
(Python)
if n<2: return n
else:
return 2*m + (n%2 + m%2)%2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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