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 A105529 Given a list of ternary numbers, interpret each as a ternary Gray code number, then convert to decimal. 3

%I

%S 0,1,2,4,5,3,8,6,7,13,14,12,17,15,16,9,10,11,26,24,25,18,19,20,22,23,

%T 21,40,41,39,44,42,43,36,37,38,53,51,52,45,46,47,49,50,48,27,28,29,31,

%U 32,30,35,33,34,80,78,79,72,73,74,76,77,75

%N Given a list of ternary numbers, interpret each as a ternary Gray code number, then convert to decimal.

%C Ternary numbers are converted into ternary Gray code by using the following algorithm: Leftmost term is leftmost Gray code term. Then going to the right, if next term b is greater than current term a, then (b - a) is the next Gray code term. (Gray code terms do not enter into the algorithmic operation). If next term b < a, then add 3 to b and perform [(3+b) - a] which becomes the next Gray code term. If b = a, the Gray code term = 0.

%C Interpreting any N-Ary code for n as N-Ary Gray code or vice versa results in a permutation of the natural numbers. Any N-Ary term can be converted to the N-Ary Gray code by using a generalization of the algorithmic rules such that if b < a, then add N to b and perform [(N + b) - a]. The other rules remain the same. A105530: ternary Gray code interpreted as ternary.

%e a(9) = 13 since Ternary 100 (9 decimal) interpreted as Ternary Gray code = 13.

%Y Cf. A105530, A003188.

%K nonn,easy

%O 0,3

%A _Gary W. Adamson_, Apr 11 2005

%E More terms from _Sean A. Irvine_, Feb 09 2012

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Last modified August 25 10:46 EDT 2019. Contains 326324 sequences. (Running on oeis4.)