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A140930 Number of 7 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,10,n can be permuted, see formula. 0
1, 19448, 77364144, 108284013552, 69951472754592, 24648355308799872, 5307612509828239104, 758274102606038236608 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..7.

FORMULA

(empirical) set p,q,r to n,10,7 (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: A323558 A321642 A204592 * A254486 A254493 A253858

Adjacent sequences:  A140927 A140928 A140929 * A140931 A140932 A140933

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified June 18 11:56 EDT 2021. Contains 345098 sequences. (Running on oeis4.)