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A268827
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Permutation of nonnegative integers: a(0) = 0, a(n) = A268717(1+A268825(n-1)).
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6
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0, 1, 3, 2, 6, 7, 5, 12, 4, 10, 14, 13, 15, 30, 26, 25, 27, 11, 9, 24, 8, 54, 50, 49, 51, 19, 17, 48, 16, 31, 29, 20, 28, 18, 22, 21, 23, 102, 98, 97, 99, 35, 33, 96, 32, 47, 45, 36, 44, 34, 38, 37, 39, 55, 53, 60, 52, 58, 62, 61, 63, 46, 42, 41, 43, 59, 57, 40, 56, 198, 194, 193, 195, 67, 65, 192, 64, 79, 77, 68, 76, 66, 70, 69, 71, 87
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OFFSET
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0,3
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COMMENTS
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The "fifth shifted power" of permutation A268717.
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LINKS
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FORMULA
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MATHEMATICA
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A003188[n_]:=BitXor[n, Floor[n/2]]; A006068[n_]:=If[n<2, n, Block[{m = A006068[Floor[n/2]]}, 2m + Mod[Mod[n, 2] + Mod[m, 2], 2]]]; A268717[n_]:=If[n<1, 0, A003188[ 1 + A006068[n - 1]]]; A268823[n_]:= If[n<2, n, A268717[1 + A268717[1 + A268717[n - 2]]]]; A268825[n_]:=If[n<1, 0, A268717[1 + A268823[n - 1]]]; A268827[n_]:=If[n<1, 0, A268717[1 + A268825[n - 1]]]; Table[A268827[n], {n, 0, 100}] (* Indranil Ghosh, Apr 03 2017 *)
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PROG
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(PARI) A003188(n) = bitxor(n, n\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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