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A140941 Number of 9 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,11,n can be permuted, see formula. 0
1, 167960, 4936848280, 44648855844320, 165848175033726640, 303282730418598205184, 309490028060407426691200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..6.

FORMULA

(empirical) set p,q,r to n,11,9 (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: A247994 A235741 A236081 * A186550 A151618 A156426

Adjacent sequences:  A140938 A140939 A140940 * A140942 A140943 A140944

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified October 30 06:31 EDT 2020. Contains 338077 sequences. (Running on oeis4.)