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A140916 Number of 7 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,8,n can be permuted, see formula. 0
1, 6435, 9202050, 4971151900, 1318349483880, 201299981193168, 19702998159210080, 1335119245893326400, 66345156372852988800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..8.

FORMULA

(empirical) set p,q,r to n,8,7 (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: A104318 A222344 A194720 * A208621 A294855 A025040

Adjacent sequences:  A140913 A140914 A140915 * A140917 A140918 A140919

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 5 10:11 EST 2021. Contains 349543 sequences. (Running on oeis4.)