A047733 Number of score sequences in tournament with n players, when 6 points are awarded in each game.
1, 4, 25, 213, 2131, 23729, 283681, 3574222, 46866712, 634204317, 8803501719, 124799484286, 1800669899917, 26374204955323, 391331674556361, 5872226011836383, 88993282402441857, 1360552594176453319
Offset: 1
Keywords
Links
- Qihao Ye, Table of n, a(n) for n = 1..808
Formula
Nonnegative integer points (p_1, p_2, ..., p_n) in polytope p_0=p_{n+1}=0, 2p_i -(p_{i+1}+p_{i-1}) <= 6, p_i >= 0, i=1, ..., n.