A218043 - OEIS

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

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OFFSET

1,1

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

Table of n, a(n) for n=1..39.

Eric W. Weisstein, Mathworld: Siteswap

MATHEMATICA

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

CROSSREFS