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A140919 Number of 4 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,9,n can be permuted, see formula. 0
1, 715, 143143, 13026013, 677352676, 23029990984, 559299781040, 10323075958624, 151561524301616, 1832516612010448, 18748054569029968, 165848175033726640, 1291064254877933536, 8973605947365856720, 56367818871058637800, 323286019995777481500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

FORMULA

(empirical) set p,q,r to n,9,4 (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: A222912 A266107 A030537 * A208352 A223061 A208863

Adjacent sequences:  A140916 A140917 A140918 * A140920 A140921 A140922

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)