A140919 - OEIS

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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.

1, 715, 143143, 13026013, 677352676, 23029990984, 559299781040, 10323075958624, 151561524301616, 1832516612010448, 18748054569029968, 165848175033726640, 1291064254877933536, 8973605947365856720, 56367818871058637800, 323286019995777481500

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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