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A003100
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Decimal Gray code for n.
(Formerly M0486)
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6
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 79, 78, 77
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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This permutation of the nonnegative integers is not self-inverse, as previously claimed. The first exception is a(100) = 190, but a(190) = 109. - Franklin T. Adams-Watters, Mar 05 2010
a(n) = A118757(n) for n<=100, = a(100)=A118757(100)=190, but a(101)=191, A118757(101)=180. - Reinhard Zumkeller, May 01 2006
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REFERENCES
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A. J. Cole, Cyclic progressive number systems, Math. Gaz., 50 (1966), 122-131.
M. Gardner, Knotted Doughnuts and Other Mathematical Entertainments. Freeman, NY, 1986, p. 18.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Franklin T. Adams-Watters, Table of n, a(n) for n = 0..10000
D. E. Knuth, Gray Codes (Vol. 4 of TAOCP)
Index entries for sequences that are permutations of the natural numbers
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MAPLE
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decgray:=proc(n) local s, i: s:=[op(convert(n, base, 10)), 0]:RETURN(add(piecewise(s[i+1] mod 2=0, s[i], 9-s[i])*10^(i-1), i=1..nops(s)-1)):end; seq(decgray(j), j=0..100); (Pab Ter)
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CROSSREFS
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Inverse is A174025.
Sequence in context: * A118757 A118758 A174025 A106649 A087121 A087052
Adjacent sequences: A003097 A003098 A003099 * A003101 A003102 A003103
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KEYWORD
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nonn,base,easy
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AUTHOR
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N. J. A. Sloane, H. W. Gould
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EXTENSIONS
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More terms from Pab Ter (pabrlos2(AT)yahoo.com), Oct 14 2005
Incorrect comment replaced by Franklin T. Adams-Watters, Mar 05 2010
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STATUS
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approved
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