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Number of 3Xn arrays containing n copies of 0..3-1 with row sums and column sums nondecreasing.
1

%I #6 Aug 12 2016 06:54:16

%S 1,21,145,1122,7886,58446,405196,2865756,19652430,135666717,917861737,

%T 6247996468,41874859669,281884085368,1877330322718,12537690094009,

%U 83063782595536,551574419251898,3639691674489757,24059481994135080

%N Number of 3Xn arrays containing n copies of 0..3-1 with row sums and column sums nondecreasing.

%C Row 3 of A267990.

%H R. H. Hardin, <a href="/A267992/b267992.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=6

%e ..1..0..1..0..0..1....0..1..1..2..1..0....0..2..0..0..1..2....0..1..2..0..0..0

%e ..1..0..0..2..2..2....0..1..2..0..0..2....0..0..1..1..1..2....1..0..1..1..2..1

%e ..0..2..1..1..2..2....2..1..0..1..2..2....1..0..1..2..2..2....2..2..0..2..1..2

%Y Cf. A267990.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 23 2016