A140919 - OEIS

This site is supported by donations to The OEIS Foundation.

A140919

Number of 4 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,9,n can be permuted, see formula.

1, 715, 143143, 13026013, 677352676, 23029990984, 559299781040, 10323075958624, 151561524301616, 1832516612010448, 18748054569029968, 165848175033726640, 1291064254877933536, 8973605947365856720, 56367818871058637800, 323286019995777481500 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,9,4 (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: A154042 A027809 A030537 * A200800 A151631 A183841` `Adjacent sequences: A140916 A140917 A140918 * A140920 A140921 A140922`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin rhh(at)cadence.com, Jul 05 2008`

Content is available under The OEIS End-User License Agreement .

Last modified February 16 08:13 EST 2012. Contains 205893 sequences.