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A140927 Number of 4 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,10,n can be permuted, see formula. 0
1, 1001, 273273, 33157124, 2254684432, 98561919456, 3031952379456, 69951472754592, 1268665346776464, 18748054569029968, 232187445047217296, 2464759032039691296, 22841906047840362560, 187629942535831549600, 1383573735925984746000, 9257736027151809697500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

FORMULA

(empirical) set p,q,r to n,10,4 (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: A221347 A109431 A267599 * A261544 A097659 A295462

Adjacent sequences:  A140924 A140925 A140926 * A140928 A140929 A140930

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified September 24 19:49 EDT 2022. Contains 356949 sequences. (Running on oeis4.)