A140935 - OEIS

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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.

1, 364, 41405, 2318680, 78835120, 1837984512, 31803696288, 431621592480, 4783805983320, 44648855844320, 359423289546776, 2543610972177184, 16072267131888800, 91841526467936000, 479707973069130000, 2311063705550691000, 10348807328532138375

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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: A278002 A329187 A107509 * A249671 A022196 A098252

Adjacent sequences: A140932 A140933 A140934 * A140936 A140937 A140938