id:A140901 - OEIS Search Results

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Number of 3 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,5,n can be permuted, see formula.

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1, 56, 1176, 14112, 116424, 731808, 3737448, 16195608, 61408347, 208416208, 644195552, 1837984512, 4892876352, 12259074816, 29115302688, 65937597264, 143107211709, 298915373064, 603074875480, 1178943365600, 2239226847000, 4142127132000, 7477931097000 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,5,3 (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: A008921 A114059 A002009 this_sequence A160346 A025597 A034202` `Adjacent sequences: A140898 A140899 A140900 this_sequence A140902 A140903 A140904`
	KEYWORD	`nonn`
	AUTHOR	`Ron Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.

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