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A140908 Number of 4 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,7,n can be permuted, see formula. 0
1, 330, 32670, 1557270, 44537922, 868489479, 12544848030, 142174944340, 1318349483880, 10323075958624, 69951472754592, 418241323113120, 2241344526426720, 10905003176653080, 48687631829880516, 201274033545094290, 776327864163869875, 2812085452234451250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

(empirical) set p,q,r to n,7,4 (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: A205993 A027807 A104476 * A256586 A319718 A319921

Adjacent sequences:  A140905 A140906 A140907 * A140909 A140910 A140911

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)