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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

%I #3 Oct 03 2013 09:33:13

%S 1,286,26026,1184183,33157124,644195552,9386849472,108284013552,

%T 1028698128744,8291930371088,58043512597616,359423289546776,

%U 1998551478139216,10102567911472960,46904779588981600,201759529849663500,810005171308207875,3054446745056957250

%N 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.

%F (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))

%K nonn

%O 0,2

%A _R. H. Hardin_, Jul 05 2008

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)