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A140943 Number of 11 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 11,11,n can be permuted, see formula. 0
1, 705432, 79483257308, 2543610972177184, 31148053701600494400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..4.

FORMULA

(empirical) set p,q,r to n,11,11 (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: A273969 A203834 A234701 * A134615 A186607 A249195

Adjacent sequences:  A140940 A140941 A140942 * A140944 A140945 A140946

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified September 25 10:24 EDT 2020. Contains 337337 sequences. (Running on oeis4.)