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Search: id:A000570
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| A000570 |
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Number of tournaments on n nodes determined by their score vectors. |
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+0 4
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| 1, 1, 2, 4, 7, 11, 18, 31, 53, 89, 149, 251, 424, 715, 1204, 2028, 3418, 5761, 9708, 16358, 27565, 46452, 78279, 131910, 222285, 374581, 631222, 1063696, 1792472, 3020560, 5090059, 8577449, 14454177, 24357268, 41045336, 69167021, 116555915
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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Prasad Tetali, A characterization of unique tournaments, J. Comb Theory B 72 (1) (1998), 157-159.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..500
Index entries for sequences related to tournaments
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FORMULA
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a(n) = a(n-5) + a(n-4) + a(n-3) + a(n-1). - Jon Schoenfield (jonscho(AT)hiwaay.net), Aug 07 2006
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MAPLE
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A000570 := proc(n) option remember; if n <= 2 then RETURN(1) elif n=3 then RETURN(2) elif n=4 then RETURN(4) elif n=5 then RETURN(7) else A000570(n-1)+A000570(n-3)+A000570(n-4)+A000570(n-5); fi; end;
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CROSSREFS
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Sequence in context: A091838 A004696 A018063 this_sequence A023426 A127926 A078513
Adjacent sequences: A000567 A000568 A000569 this_sequence A000571 A000572 A000573
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KEYWORD
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nonn,nice
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AUTHOR
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Prasad Tetali [ tetali(AT)math.gatech.edu ]
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 06 2000
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