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A140926 Number of 3 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,10,n can be permuted, see formula. 0
1, 286, 26026, 1184183, 33157124, 644195552, 9386849472, 108284013552, 1028698128744, 8291930371088, 58043512597616, 359423289546776, 1998551478139216, 10102567911472960, 46904779588981600, 201759529849663500, 810005171308207875, 3054446745056957250 (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,10,3 (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: A221431 A306144 A130433 * A295447 A203049 A306788

Adjacent sequences:  A140923 A140924 A140925 * A140927 A140928 A140929

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified August 10 13:30 EDT 2020. Contains 336381 sequences. (Running on oeis4.)