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A140915 Number of 6 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,8,n can be permuted, see formula. 0
1, 3003, 2147145, 614083470, 90474964580, 7997986868872, 469699956117392, 19702998159210080, 623055648083552320, 15480536486999030720, 312230512837780450368, 5247874388850386800416 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

FORMULA

(empirical) set p,q,r to n,8,6 (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: A094336 A100896 A324405 * A140928 A090162 A031818

Adjacent sequences:  A140912 A140913 A140914 * A140916 A140917 A140918

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified October 28 17:59 EDT 2021. Contains 348329 sequences. (Running on oeis4.)