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A047730 Number of score sequences in tournament with n players, when 4 points are awarded in each game. 9

%I #13 Jul 08 2023 20:07:19

%S 1,3,13,76,521,3996,32923,286202,2590347,24203935,232050202,

%T 2272449745,22653570386,229274897514,2350933487206,24381053759852,

%U 255382755251622,2698732882975782,28743579211912338

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

%D P. A. MacMahon, Chess tournaments and the like treated by the calculus o symmetric functions, Coll. Papers I, MIT Press, 344-375.

%H Qihao Ye, <a href="/A047730/b047730.txt">Table of n, a(n) for n = 1..928</a>

%H <a href="/index/To#tournament">Index entries for sequences related to tournaments</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}) <= 4, p_i >= 0, i=1, ..., n.

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

%K nonn

%O 1,2

%A _David W. Wilson_

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Last modified April 23 11:27 EDT 2024. Contains 371913 sequences. (Running on oeis4.)