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Search: id:A005351
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| A005351 |
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Numbers n such that base -2 representation for n converted from binary to decimal.
(Formerly M4059)
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+0
8
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| 0, 1, 6, 7, 4, 5, 26, 27, 24, 25, 30, 31, 28, 29, 18, 19, 16, 17, 22, 23, 20, 21, 106, 107, 104, 105, 110, 111, 108, 109, 98, 99, 96, 97, 102, 103, 100, 101, 122, 123, 120, 121, 126, 127, 124, 125, 114, 115, 112, 113, 118, 119, 116, 117, 74, 75, 72, 73, 78, 79, 76
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Gardner, Knotted Doughnuts and Other Mathematical Entertainments. Freeman, NY, 1986, p. 101.
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LINKS
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Joerg Arndt, Fxtbook
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(4n+2) = 4a(n+1)+2, a(4n+3) = 4a(n+1)+3, a(4n+4) = 4a(n+1), a(4n+5) = 4a(n+1)+1, n>-2, a(1)=1. - R. Stephan, Apr 06 2004
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EXAMPLE
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2 = 4+(-2)+0 = 110 => 6, 3 = 4+(-2)+1 = 111 => 7, ..., 6 = (16)+(-8)+0+(-2)+0 = 11010 => 26.
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MATHEMATICA
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f[n_] := Module[{t = 2(4^Floor[ Log[4, Abs[n] + 1] + 2] - 1)/3}, BitXor[n + t, t]]; Table[ f[n]], {n, 0, 60}] (from Robert G. Wilson v Jan 24 2005)
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CROSSREFS
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Cf. A039724. Complement of A005352.
Sequence in context: A092678 A019932 A004447 this_sequence A098882 A019616 A073177
Adjacent sequences: A005348 A005349 A005350 this_sequence A005352 A005353 A005354
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KEYWORD
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nonn,base,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 24 2005
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