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%I #3 Dec 01 2013 05:43:26
%S 112,1169,10020,69096,395858,1977447,8733769,35038672,129401308,
%T 446455554,1449355171,4445398493,12943299647,35960503702,95710408560,
%U 245007196179
%N Number of (n+1)X(2+1) 0..2 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
%C Column 2 of A232852
%e Some solutions for n=4
%e ..2..2..0....0..0..0....1..0..1....2..1..1....0..0..0....1..2..0....0..0..0
%e ..2..2..0....1..1..0....0..2..1....1..2..1....1..0..0....0..0..1....1..0..0
%e ..0..2..1....1..0..1....0..2..1....0..1..2....1..0..1....1..2..2....1..1..0
%e ..2..2..1....1..0..1....0..1..2....2..2..2....0..1..2....1..2..2....0..1..1
%e ..0..0..2....1..2..2....0..2..2....2..2..2....0..2..2....1..2..2....0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2013