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A047737 Number of score sequences in tournament with n players, when 10 points are awarded in each game. 1

%I #14 Jul 08 2023 19:23:54

%S 1,6,61,846,13771,248623,4816659,98277943,2086173336,45688601782,

%T 1026218795502,23536101285148,549336702455778,13014352354398322,

%U 312313455482385108,7579157833713922471

%N Number of score sequences in tournament with n players, when 10 points are awarded in each game.

%H Qihao Ye, <a href="/A047737/b047737.txt">Table of n, a(n) for n = 1..692</a>

%F Nonnegative integer points (p_1, p_2, ..., p_n) in polytope p_0 = p_{n+1} = 0, 2*p_i - (p_{i+1} + p_{i-1}) <= 10, p_i >= 0, i = 1..n.

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

%K nonn

%O 1,2

%A _David W. Wilson_

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Last modified April 17 21:22 EDT 2024. Contains 371767 sequences. (Running on oeis4.)