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Base 3 numbers that have digits that sum to 3.
1

%I #17 Oct 19 2012 13:29:36

%S 12,21,102,111,120,201,210,1002,1011,1020,1101,1110,1200,2001,2010,

%T 2100,10002,10011,10020,10101,10110,10200,11001,11010,11100,12000,

%U 20001,20010,20100,21000,100002,100011,100020,100101,100110,100200,101001,101010,101100

%N Base 3 numbers that have digits that sum to 3.

%C It is a representation of the "energy states" of "multiplex pair" notation of 3 quantum of objects in a juggling pattern.

%C 0 = an empty site, or empty hand. 1 = one object resides in the site. 2 = two objects reside in the site.

%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/Siteswap.html">Mathworld: Siteswap</a>

%t t = Select[Range[500], Total[IntegerDigits[#, 3]] == 3 &]; FromDigits /@ IntegerDigits[t, 3] (* _T. D. Noe_, Oct 19 2012 *)

%K nonn,base

%O 1,1

%A _Joshua S.M. Weiner_, Oct 19 2012