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 A003100 Decimal Gray code for n. (Formerly M0486) 9
 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)
 OFFSET 0,3 COMMENTS 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 REFERENCES 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). LINKS Franklin T. Adams-Watters, Table of n, a(n) for n = 0..10000 A. J. Cole, Cyclic progressive number systems, Math. Gaz., 50 (1966), 122-131. A. J. Cole, Cyclic progressive number systems, Math. Gaz., 50 (1966), 122-131. [Annotated scanned copy] Henry W. Gould, Letters to N. J. A. Sloane, Oct 1973 and Jan 1974. D. E. Knuth, Gray Codes (Vol. 4 of TAOCP) Index entries for sequences that are permutations of the natural numbers MAPLE A003100 :=proc(n) local s, i: s:=[op(convert(n, base, 10)), 0]: add(piecewise(s[i+1] mod 2=0, s[i], 9-s[i])*10^(i-1), i=1..nops(s)-1) : end proc: seq(A003100(j), j=0..100); # Pab Ter, Oct 14 2005 CROSSREFS Inverse is A174025. Sequence in context: A259046 A261725 A261729 * A118757 A118758 A174025 Adjacent sequences: A003097 A003098 A003099 * A003101 A003102 A003103 KEYWORD nonn,base,easy,look AUTHOR N. J. A. Sloane, Henry W. Gould EXTENSIONS More terms from Pab Ter (pabrlos2(AT)yahoo.com), Oct 14 2005 Incorrect comment replaced by Franklin T. Adams-Watters, Mar 05 2010 STATUS approved

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