login
Number of score sequences in tournament with n players, when 6 points are awarded in each game.
1

%I #12 Jun 27 2023 03:17:39

%S 1,4,25,213,2131,23729,283681,3574222,46866712,634204317,8803501719,

%T 124799484286,1800669899917,26374204955323,391331674556361,

%U 5872226011836383,88993282402441857,1360552594176453319

%N Number of score sequences in tournament with n players, when 6 points are awarded in each game.

%H Qihao Ye, <a href="/A047733/b047733.txt">Table of n, a(n) for n = 1..808</a>

%F 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.

%Y Cf. A000571, A007747, A047729, A047730, A047731.

%K nonn

%O 1,2

%A _David W. Wilson_