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Search: id:A125032
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| A125032 |
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Triangle read by rows: T(n,k) = number of tournaments with n players which have the k-th score sequence. The score sequences are in the same order as A068029 and start with the empty score sequence. |
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+0
3
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| 1, 1, 2, 6, 2, 24, 8, 8, 24, 120, 40, 40, 120, 40, 120, 240, 280, 24, 720, 240, 240, 720, 240, 720, 1440, 1680, 144, 240, 80, 720, 1440, 2880, 1680, 1680, 1680, 8640, 2400, 144, 2400, 2640, 5040, 1680, 1680, 5040, 1680, 5040, 10080, 11760, 1008, 1680, 560
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The score sequences are sorted by number of players and then lexicographically.
There are A000571(m) score sequences for m players. The sum of all the a(n) for m players is A006125(m)=2^(m(m-1)/2).
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LINKS
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Martin Fuller, Table of n, a(n) for n = 1..2242
Eric Weisstein's World of Mathematics, Score Sequence
Index entries for sequences related to tournaments
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EXAMPLE
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There are two score sequences with 3 players: [0,1,2] from 6 tournaments and [1,1,1] from 2 tournaments. These score sequences come 4th and 5th respectively, so a(4)=6 and a(5)=2.
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CROSSREFS
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Cf. A000571, A006125, A068029, A125031 (number of highest scorers), A123553.
Other sequences that can be calculated using this one: A013976, A125031.
Sequence in context: A126287 A008556 A096485 this_sequence A131980 A076743 A141056
Adjacent sequences: A125029 A125030 A125031 this_sequence A125033 A125034 A125035
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KEYWORD
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nonn,tabf
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AUTHOR
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Martin Fuller (martin_n_fuller(AT)btinternet.com), Nov 16 2006
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