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Search: id:A039798
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| A039798 |
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Triangle read by rows: numbers of Dyck paths. |
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+0
2
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| 1, 1, 1, 1, 3, 3, 1, 6, 14, 14, 1, 10, 40, 84, 84, 1, 15, 90, 300, 594, 594, 1, 21, 175, 825, 2475, 4719, 4719, 1, 28, 308, 1925, 7865, 22022, 40898, 40898, 1, 36, 504, 4004, 21021, 78078, 208208, 379236, 379236, 1, 45, 780, 7644, 49686, 231868, 804440
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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D. Gouyou-Beauchamps, Chemins sous-diagonaux et tableau de Young, pp. 112-125 of "Combinatoire Enumerative (Montreal 1985)", Lect. Notes Math. 1234, 1986.
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LINKS
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Index entries for sequences related to Young tableaux.
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FORMULA
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T(n, k)=(n+k)!(n+k+2)!(n-k+3)!/[k!(k+1)!(n-k)!(n+2)!(n+3)! ] for 0<=k<=n. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2004
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EXAMPLE
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1; 1,1; 1,3,3; 1,6,14,14; ...
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MAPLE
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T:=(n, k)->(n+k)!*(n+k+2)!*(n-k+3)!/k!/(k+1)!/(n-k)!/(n+2)!/(n+3)!: seq(seq(T(n, k), k=0..n), n=0..10);
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CROSSREFS
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Cf. A039797.
Reflection of A039797.
Adjacent sequences: A039795 A039796 A039797 this_sequence A039799 A039800 A039801
Sequence in context: A110640 A143389 A094040 this_sequence A001498 A138464 A117279
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 29 2004
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