A047731 -id:A047731 - cp's OEIS frontend

A047733 Number of score sequences in tournament with n players, when 6 points are awarded in each game.

1, 4, 25, 213, 2131, 23729, 283681, 3574222, 46866712, 634204317, 8803501719, 124799484286, 1800669899917, 26374204955323, 391331674556361, 5872226011836383, 88993282402441857, 1360552594176453319

Offset: 1

David W. Wilson

nonn

Qihao Ye, Table of n, a(n) for n = 1..808

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

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}) <= 6, p_i >= 0, i=1, ..., n.

A047734 Number of score sequences in tournament with n players, when 7 points are awarded in each game.

Original entry on oeis.org

1, 4, 32, 318, 3692, 47536, 657040, 9563961, 144847330, 2263567060, 36281911266, 593856894136, 9892591942306, 167278802007062, 2865331941321996, 49634901816988932, 868329574365547207

Offset: 1

David W. Wilson

nonn

Qihao Ye, Table of n, a(n) for n = 1..770

Cf. A000571, A007747, A047729-A047731.

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.

A047735 Number of score sequences in tournament with n players, when 8 points are awarded in each game.

Original entry on oeis.org

1, 5, 41, 459, 6033, 88055, 1379405, 22763356, 390859501, 6924877318, 125837754305, 2335060741480, 44097660919285, 845336236860344, 16415016380975679, 322349248087651458, 6392828942756895663

Offset: 1

David W. Wilson

nonn

Qihao Ye, Table of n, a(n) for n = 1..739

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

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}) <= 8, p_i >= 0, i=1, ..., n.

A047736 Number of score sequences in tournament with n players, when 9 points are awarded in each game.

Original entry on oeis.org

1, 5, 50, 630, 9285, 151652, 2658131, 49061128, 942055396, 18662965393, 379195887105, 7867076520341, 166102773740621, 3559787677138284, 77278541685154409, 1696519572528877274

Offset: 1

David W. Wilson

nonn

Qihao Ye, Table of n, a(n) for n = 1..714

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

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}) <= 9, p_i >= 0, i=1, ..., n.

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

Original entry on oeis.org

1, 6, 61, 846, 13771, 248623, 4816659, 98277943, 2086173336, 45688601782, 1026218795502, 23536101285148, 549336702455778, 13014352354398322, 312313455482385108, 7579157833713922471

Offset: 1

David W. Wilson

nonn

Qihao Ye, Table of n, a(n) for n = 1..692

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

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.

cp's OEIS Frontend

A047733 Number of score sequences in tournament with n players, when 6 points are awarded in each game.

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A047734 Number of score sequences in tournament with n players, when 7 points are awarded in each game.

Views

Author

Keywords

Links

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Formula

A047735 Number of score sequences in tournament with n players, when 8 points are awarded in each game.

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Author

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A047736 Number of score sequences in tournament with n players, when 9 points are awarded in each game.

Views

Author

Keywords

Links

Crossrefs

Formula

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

Views

Author

Keywords

Links

Crossrefs

Formula