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A352877 Lexicographically earliest sequence of distinct nonnegative terms such that two consecutive terms can be added without carries in base 3.

%I A352877 #9 Apr 09 2022 13:15:15
%S A352877 0,1,3,2,6,9,4,10,7,18,5,12,11,15,27,8,36,13,28,16,37,30,14,39,29,21,
%T A352877 31,19,33,20,54,17,63,81,22,55,24,56,84,23,57,82,25,108,26,135,83,42,
%U A352877 38,87,45,32,48,85,40,90,34,46,88,64,91,43,109,49,111,41,93
%N A352877 Lexicographically earliest sequence of distinct nonnegative terms such that two consecutive terms can be added without carries in base 3.
%C A352877 This sequence is a permutation of the positive integers, analogous to A109812 and A252022.
%H A352877 Rémy Sigrist, <a href="/A352877/a352877.gp.txt">PARI program</a>
%H A352877 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A352877 The first terms, alongside their ternary expansions, are:
%e A352877   n   a(n)  ter(a(n))
%e A352877   --  ----  ---------
%e A352877    0     0          0
%e A352877    1     1          1
%e A352877    2     3         10
%e A352877    3     2          2
%e A352877    4     6         20
%e A352877    5     9        100
%e A352877    6     4         11
%e A352877    7    10        101
%e A352877    8     7         21
%e A352877    9    18        200
%e A352877   10     5         12
%e A352877   11    12        110
%e A352877   12    11        102
%o A352877 (PARI) See Links section.
%Y A352877 Cf. A109812 (binary analog), A252022 (decimal analog).
%K A352877 nonn,base
%O A352877 0,3
%A A352877 _Rémy Sigrist_, Apr 06 2022