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A047730 Number of score sequences in tournament with n players, when 4 points are awarded in each game. 4
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

Table of n, a(n) for n=1..19.

Index entries for sequences related to tournaments

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

Cf. A000571, A007747, A047729, A064626, A064422.

Sequence in context: A222427 A026072 A063646 * A162435 A059040 A220895

Adjacent sequences:  A047727 A047728 A047729 * A047731 A047732 A047733

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified November 19 03:37 EST 2019. Contains 329310 sequences. (Running on oeis4.)