A140930 - OEIS

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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.

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 February 5 20:57 EST 2023. Contains 360087 sequences. (Running on oeis4.)