A047735 - OEIS

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A047735

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

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

CROSSREFS

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

Sequence in context: A225095 A302100 A222081 * A096364 A210661 A049119

Adjacent sequences: A047732 A047733 A047734 * A047736 A047737 A047738

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved