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Search: id:A004311
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| A004311 |
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Binomial coefficient C(2n,n-5). |
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+0
3
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| 1, 12, 91, 560, 3060, 15504, 74613, 346104, 1562275, 6906900, 30045015, 129024480, 548354040, 2310789600, 9669554100, 40225345056, 166509721602, 686353797976, 2818953098830, 11541847896480
(list; graph; listen)
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OFFSET
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5,2
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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=5. - 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 11 of triangle A100257.
Sequence in context: A114860 A001502 A001503 this_sequence A026074 A120990 A055022
Adjacent sequences: A004308 A004309 A004310 this_sequence A004312 A004313 A004314
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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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