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A140935 Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4
1, 364, 41405, 2318680, 78835120, 1837984512, 31803696288, 431621592480, 4783805983320, 44648855844320, 359423289546776, 2543610972177184, 16072267131888800, 91841526467936000, 479707973069130000, 2311063705550691000, 10348807328532138375 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In the definition, 3,11,n can be permuted, see formula.

LINKS

Table of n, a(n) for n=0..16.

FORMULA

(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))

CROSSREFS

Sequence in context: A022045 A278002 A107509 * A249671 A022196 A098252

Adjacent sequences:  A140932 A140933 A140934 * A140936 A140937 A140938

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

EXTENSIONS

Edited by N. J. A. Sloane, Aug 28 2010 and May 08 2012

STATUS

approved

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Last modified April 24 12:01 EDT 2019. Contains 322429 sequences. (Running on oeis4.)