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A140904 Number of 4 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,6,n can be permuted, see formula. 0
1, 210, 13860, 457380, 9343620, 133613766, 1447482465, 12544848030, 90474964580, 559299781040, 3031952379456, 14675134144320, 64344818940480, 258616676126160, 962206162645860, 3341308066756506, 10904939897954025, 33648885753232750, 98669664990682500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

(empirical) set p,q,r to n,6,4 (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: A185042 A023905 A035840 * A092711 A187308 A229754

Adjacent sequences:  A140901 A140902 A140903 * A140905 A140906 A140907

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 10 20:55 EST 2018. Contains 318049 sequences. (Running on oeis4.)