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A140935
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Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order.
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4
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1, 364, 41405, 2318680, 78835120, 1837984512, 31803696288, 431621592480, 4783805983320, 44648855844320, 359423289546776, 2543610972177184, 16072267131888800, 91841526467936000, 479707973069130000, 2311063705550691000, 10348807328532138375
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OFFSET
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0,2
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COMMENTS
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In the definition, 3,11,n can be permuted, see formula.
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LINKS
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Table of n, a(n) for n=0..16.
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FORMULA
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(Empirical) set p,q,r to n,11,3 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))
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CROSSREFS
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Sequence in context: A278002 A329187 A107509 * A249671 A022196 A098252
Adjacent sequences: A140932 A140933 A140934 * A140936 A140937 A140938
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jul 05 2008
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EXTENSIONS
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Edited by N. J. A. Sloane, Aug 28 2010 and May 08 2012
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STATUS
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approved
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