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A140912 Number of 3 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,8,n can be permuted, see formula. 0
1, 165, 9075, 259545, 4723719, 61408347, 614083470, 4971151900, 33803832920, 198520691512, 1028698128744, 4783805983320, 20239179160200, 78777112731240, 284722993157196, 963033653325810, 3068489581675375, 9262468551496875, 26617409626933125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

(empirical) set p,q,r to n,8,3 (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: A194483 A105944 A071576 * A132055 A046178 A176018

Adjacent sequences:  A140909 A140910 A140911 * A140913 A140914 A140915

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 22 14:10 EST 2014. Contains 252364 sequences.