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A140931 Number of 8 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,10,n can be permuted, see formula. 0
1, 43758, 367479684, 1028698128744, 1268665346776464, 819557814017595744, 312230512837780450368 (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,10,8 (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: A094493 A342580 A165479 * A295440 A045157 A206517

Adjacent sequences:  A140928 A140929 A140930 * A140932 A140933 A140934

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified June 22 21:29 EDT 2021. Contains 345393 sequences. (Running on oeis4.)