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A140906 Number of 6 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,6,n can be permuted, see formula. 0
1, 924, 226512, 24293412, 1447482465, 55197331332, 1478619421136, 29706808370096, 469699956117392, 6062460972064640, 65728947490132992, 612416828057104512, 4995284546047230864, 36217696550300209296, 236405501218419838800, 1404221840699607829900 (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,6,6 (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: A177304 A022053 A107517 * A179715 A177305 A177306

Adjacent sequences:  A140903 A140904 A140905 * A140907 A140908 A140909

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified January 28 06:26 EST 2022. Contains 350654 sequences. (Running on oeis4.)