A218043 Base 3 numbers that have digits that sum to 3.

12, 21, 102, 111, 120, 201, 210, 1002, 1011, 1020, 1101, 1110, 1200, 2001, 2010, 2100, 10002, 10011, 10020, 10101, 10110, 10200, 11001, 11010, 11100, 12000, 20001, 20010, 20100, 21000, 100002, 100011, 100020, 100101, 100110, 100200, 101001, 101010, 101100

Offset: 1

Author

Joshua S.M. Weiner, Oct 19 2012

Keywords

• nonn
• base

Comments

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

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

Links

• Eric W. Weisstein, Mathworld: Siteswap

Programs

Mathematica

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