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.

1, 286, 26026, 1184183, 33157124, 644195552, 9386849472, 108284013552, 1028698128744, 8291930371088, 58043512597616, 359423289546776, 1998551478139216, 10102567911472960, 46904779588981600, 201759529849663500, 810005171308207875, 3054446745056957250

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