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%I #5 Dec 02 2013 04:10:05
%S 83,578,3473,18886,95877,462013,2138895,9598529,42066595,180962518,
%T 766952748,3211904613,13326255821,54883286211,224676789663,
%U 915299640977,3714702927144,15031048272068,60672346264225,244415984430509
%N Number of (n+1)X(1+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..1+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
%C Column 1 of A232886
%H R. H. Hardin, <a href="/A232884/b232884.txt">Table of n, a(n) for n = 1..30</a>
%e Some solutions for n=5
%e ..0..1....0..0....1..1....0..0....1..1....0..0....2..0....0..1....0..2....2..0
%e ..0..2....2..1....3..0....1..1....1..3....3..0....1..1....0..2....1..1....2..1
%e ..2..2....1..2....0..3....3..0....2..3....2..2....0..2....3..0....0..3....2..1
%e ..1..3....2..3....3..1....0..3....3..2....1..3....1..1....1..2....0..3....0..3
%e ..2..3....3..2....2..3....3..3....3..3....2..2....0..2....2..1....2..2....0..3
%e ..3..3....3..3....2..3....3..3....3..3....2..3....3..2....1..3....2..3....1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 02 2013