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

1,1

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

Sequence in context: A316267 A228766 A157157 * A048344 A039402 A043225

Adjacent sequences: A218040 A218041 A218042 * A218044 A218045 A218046

Keyword

nonn,base

Author

Joshua S.M. Weiner, Oct 19 2012

Status

approved