|
|
A047730
|
|
Number of score sequences in tournament with n players, when 4 points are awarded in each game.
|
|
9
|
|
|
1, 3, 13, 76, 521, 3996, 32923, 286202, 2590347, 24203935, 232050202, 2272449745, 22653570386, 229274897514, 2350933487206, 24381053759852, 255382755251622, 2698732882975782, 28743579211912338
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
P. A. MacMahon, Chess tournaments and the like treated by the calculus o symmetric functions, Coll. Papers I, MIT Press, 344-375.
|
|
LINKS
|
|
|
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}) <= 4, p_i >= 0, i=1, ..., n.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|