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Take the Cantor set sequence A121153 and if the entry m = A121153(n) is in the range 3^k <= m < 3^(k+1), subtract 3^k from it.
3

%I #3 Mar 30 2012 16:51:55

%S 0,0,1,0,1,3,4,0,1,3,9,12,13,0,1,3,9,10,27,36,39,40,0,1,3,9,27,30,81,

%T 85,108,117,120,121,0,1,3,9,27,28,81,90,91,220,243,255,307,324,351,

%U 360,363,364,0,1,3,9,27,81,84,175,243,270,273,625,660,729,733,765,921,972,1053

%N Take the Cantor set sequence A121153 and if the entry m = A121153(n) is in the range 3^k <= m < 3^(k+1), subtract 3^k from it.

%H N. J. A. Sloane, <a href="/A170952/b170952.txt">Table of n, a(n) for n=1..179</a>

%e If written as a triangle:

%e 0,

%e 0, 1,

%e 0, 1, 3, 4,

%e 0, 1, 3, 9, 12, 13,

%e 0, 1, 3, 9, 10, 27, 36, 39, 40,

%e 0, 1, 3, 9, 27, 30, 81, 85, 108, 117, 120, 121,

%e 0, 1, 3, 9, 27, 28, 81, 90, 91, 220, 243, 255, 307, 324, 351, 360, 363, 364,

%e 0, 1, 3, 9, 27, 81, 84, 175, 243, 270, 273, 625, 660, 729, 733, 765, 921, 972, 1053, 1080, 1089, 1092, 1093,

%e ...

%Y Cf. A121153, A170943, A170944, A170951.

%K nonn,tabf

%O 1,6

%A J. H. Conway, T. D. Noe and _N. J. A. Sloane_, Feb 22 2010