A068029 Table of sorted score sequences (including duplications), with A000571 giving the number of score sequences of length n.
0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 2, 2, 0, 1, 2, 3, 4, 0, 1, 3, 3, 3, 0, 2, 2, 2, 4, 0, 2, 2, 3, 3, 1, 1, 1, 3, 4, 1, 1, 2, 2, 4, 1, 1, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 0, 1, 2, 3, 4, 5, 0, 1, 2, 4, 4, 4, 0, 1, 3, 3, 3, 5, 0, 1, 3, 3, 4, 4, 0, 2, 2, 2, 4, 5, 0, 2
Offset: 1
Examples
{0} is the score sequence of length 1. {0,1} is the score sequence of length 2. {0,1,2} and {1,1,1} are the two score sequences of length 3.
Links
- Sean A. Irvine, Java program (github)
- D. Recoskie and J. Sawada, The Taming of Two Alley CATs, 2012.
- Eric Weisstein's World of Mathematics, Score Sequence
Crossrefs
Cf. A000571.