

A003100


Decimal Gray code for n.
(Formerly M0486)


10



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
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OFFSET

0,3


COMMENTS

This permutation of the nonnegative integers is not selfinverse, as previously claimed. The first exception is a(100) = 190, but a(190) = 109.  Franklin T. AdamsWatters, 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. AdamsWatters, Table of n, a(n) for n = 0..10000
A. J. Cole, Cyclic progressive number systems, Math. Gaz., 50 (1966), 122131.
A. J. Cole, Cyclic progressive number systems, Math. Gaz., 50 (1966), 122131. [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], 9s[i])*10^(i1), 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: * A118757 A118758 A174025 A106649 A284030 A087121
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. AdamsWatters, Mar 05 2010


STATUS

approved



