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Search: id:A004312
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| A004312 |
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Binomial coefficient C(2n,n-6). |
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+0
3
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| 1, 14, 120, 816, 4845, 26334, 134596, 657800, 3108105, 14307150, 64512240, 286097760, 1251677700, 5414950296, 23206929840, 98672427616, 416714805914, 1749695026860, 7309837001104, 30405943383200
(list; graph; listen)
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OFFSET
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6,2
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COMMENT
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Number of lattice paths from (0,0) to (n,n) with steps E=(1,0) and N=(0,1) which touch or cross the line x-y=6. - Herbert Kociemba (kociemba(AT)t-online.de), May 24 2004
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.
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LINKS
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Milan Janjic, Two Enumerative Functions
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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CROSSREFS
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Diagonal 13 of triangle A100257.
Sequence in context: A023012 A073383 A022642 this_sequence A002056 A163942 A167567
Adjacent sequences: A004309 A004310 A004311 this_sequence A004313 A004314 A004315
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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