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A064706
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Square of permutation defined by A003188.
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5
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0, 1, 2, 3, 5, 4, 7, 6, 10, 11, 8, 9, 15, 14, 13, 12, 20, 21, 22, 23, 17, 16, 19, 18, 30, 31, 28, 29, 27, 26, 25, 24, 40, 41, 42, 43, 45, 44, 47, 46, 34, 35, 32, 33, 39, 38, 37, 36, 60, 61, 62, 63, 57, 56, 59, 58, 54, 55, 52, 53, 51, 50, 49, 48, 80, 81, 82, 83, 85, 84, 87, 86
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Inverse of sequence A064707 considered as a permutation of the nonnegative integers.
Not the same as A100282: a(n)=A100282(n)=A100280(A100280(n)) only for n<64. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 11 2004
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,1000
Index entries for sequences that are permutations of the natural numbers
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FORMULA
| a(n) = A003188(A003188(n)).
a(n) = n XOR [n/4], where XOR is binary exclusive OR and [x]=floor(x). - Paul D. Hanna (pauldhanna(AT)juno.com), Oct 25 2004
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PROG
| (Matlab) A = 1; for i = 1:7 B = A(end:-1:1); A = [A (B + length(A))]; end A(A) - 1
(PARI) a(n)=bitxor(n, n\4)
(PARI) { for (n=0, 1000, write("b064706.txt", n, " ", bitxor(n, n\4)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 22 2009]
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CROSSREFS
| Sequence in context: A095721 A072061 A101212 * A100282 A100281 A064707
Adjacent sequences: A064703 A064704 A064705 * A064707 A064708 A064709
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Oct 13 2001
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 02 2002
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