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%I #14 Oct 24 2018 22:45:03
%S 0,1,3,2,5,9,6,11,17,4,7,12,10,15,23,19,27,37,14,21,29,25,34,46,40,53,
%T 68,8,13,20,16,24,33,28,39,51,22,31,43,36,48,63,56,71,88,45,59,75,66,
%U 83,103,93,114,138,32,44,57,49,64,81,72,90,111,60,77,96,85,106,129,117,142,169,100,122,148,135,162
%N Arrange ternary integers in lexicographic order. Put the order number for each term when their values are interpreted in base 3/2 (starting from 0).
%C Every nonnegative integer appears exactly once.
%e The ternary integers are: 0, 1, 2, 10, 11, 12, 20, 21, 22, 100 and so on. The values of these numbers interpreted in base 3/2 are 0, 1, 2, 1.5, 2.5, 3.5, 3, 4, 5, 2.25 and so on. The values in ascending order are: 0, 1, 1.5, 2, 2.25, 2.5 and so on. Consider n=4. The corresponding ternary integer is 11 with the value 2.5. 2.5 is the fifth positive value on the list, thus a(4) = 5.
%Y The inverse is sequence A320273.
%Y Cf. A024629.
%K nonn,base
%O 0,3
%A _Tanya Khovanova_ and PRIMES STEP Junior group, Oct 08 2018
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