A047734 Number of score sequences in tournament with n players, when 7 points are awarded in each game.
1, 4, 32, 318, 3692, 47536, 657040, 9563961, 144847330, 2263567060, 36281911266, 593856894136, 9892591942306, 167278802007062, 2865331941321996, 49634901816988932, 868329574365547207
Offset: 1
Keywords
Links
- Qihao Ye, Table of n, a(n) for n = 1..770
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}) <= 7, p_i >= 0, i=1, ..., n.