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A140905 Number of 5 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,6,n can be permuted, see formula. 0
1, 462, 60984, 3737448, 133613766, 3184461423, 55197331332, 739309710568, 7997986868872, 72261531710368, 559611782036736, 3792054662892288, 22861714169552544, 124317036213845112, 616710003178486536, 2817836469631320060, 11955449108123596075 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

(empirical) set p,q,r to n,6,5 (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: A023912 A027565 A035847 * A208619 A318266 A295432

Adjacent sequences:  A140902 A140903 A140904 * A140906 A140907 A140908

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 8 07:52 EST 2021. Contains 349593 sequences. (Running on oeis4.)