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A004311
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Binomial coefficient C(2n,n-5).
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2
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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; refs; listen; history; internal format)
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OFFSET
| 5,2
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COMMENTS
| 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
| 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
| 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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PROG
| (MAGMA) [ Binomial(2*n, n-5): n in [5..150] ]; // Vincenzo Librandi, Apr 13 2011
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CROSSREFS
| Diagonal 11 of triangle A100257.
Sequence in context: A114860 A001502 A001503 * A160869 A026074 A120990
Adjacent sequences: A004308 A004309 A004310 * A004312 A004313 A004314
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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