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%I #5 Nov 29 2013 13:53:22
%S 86,561,2799,11642,42136,135738,398282,1080962,2742442,6562552,
%T 14924881,32441051,67731876,136394979,265881588,503206400,927099641,
%U 1666476136,2928247968,5038451724,8502451244,14091189678,22963981249,36840064368
%N Number of (n+1)X(1+1) 0..3 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing
%C Column 1 of A232756
%H R. H. Hardin, <a href="/A232754/b232754.txt">Table of n, a(n) for n = 1..27</a>
%e Some solutions for n=4
%e ..3..1....0..0....2..0....3..1....0..0....2..2....1..1....1..0....0..0....1..0
%e ..2..2....0..0....2..0....3..1....3..0....2..2....1..2....3..0....3..2....0..2
%e ..2..2....0..1....1..2....3..1....2..2....0..3....2..2....0..2....3..2....1..2
%e ..2..3....1..1....3..2....0..2....0..3....2..3....0..3....1..2....3..2....3..3
%e ..2..3....1..1....1..3....2..3....2..3....2..3....0..3....1..3....2..3....3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2013