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A004310
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Binomial coefficient C(2n,n-4).
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2
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1, 10, 66, 364, 1820, 8568, 38760, 170544, 735471, 3124550, 13123110, 54627300, 225792840, 927983760, 3796297200, 15471286560, 62852101650, 254661927156, 1029530696964, 4154246671960, 16735679449896
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,2
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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=4. - Herbert Kociemba (kociemba(AT)t-online.de), May 23 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-4): n in [4..150] ]; // Vincenzo Librandi, Apr 13 2011
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CROSSREFS
| Diagonal 9 of triangle A100257.
Sequence in context: A024391 A074362 A080421 * A026853 A177452 A033504
Adjacent sequences: A004307 A004308 A004309 * A004311 A004312 A004313
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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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