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A140936 Number of 4 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,11,n can be permuted, see formula. 0
1, 1365, 496860, 78835120, 6892441920, 381644355456, 14675134144320, 418241323113120, 9271015995674160, 165848175033726640, 2464759032039691296, 31148053701600494400, 341145350065148272000, 3289615875628215480000, 28300371871213324350000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

(empirical) set p,q,r to n,11,4 (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: A128285 A069310 A096117 * A022204 A015405 A295466

Adjacent sequences: A140933 A140934 A140935 * A140937 A140938 A140939

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 8 03:48 EST 2022. Contains 358672 sequences. (Running on oeis4.)