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Search: id:A140904
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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
1, 210, 13860, 457380, 9343620, 133613766, 1447482465, 12544848030, 90474964580, 559299781040, 3031952379456, 14675134144320, 64344818940480, 258616676126160, 962206162645860, 3341308066756506, 10904939897954025, 33648885753232750, 98669664990682500 (list; graph; listen)
OFFSET

0,2

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: A087977 A023905 A035840 this_sequence A092711 A089514 A014979

Adjacent sequences: A140901 A140902 A140903 this_sequence A140905 A140906 A140907

KEYWORD

nonn

AUTHOR

Ron Hardin rhh(at)cadence.com, Jul 05 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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