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Number of (3+1)X(n+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..3+1} nondecreasing
0

%I #3 Dec 02 2013 04:12:48

%S 3473,280325,18692802,1063222171,53153482029,2386893457725,

%T 97901143731315,3715353311254930,131807806047496905,

%U 4407809340492322944

%N Number of (3+1)X(n+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..3+1} nondecreasing

%C Row 3 of A232886

%e Some solutions for n=1

%e ..0..0....2..2....0..0....1..0....1..2....0..1....0..3....1..1....2..0....3..0

%e ..0..1....1..3....1..0....0..3....2..3....1..2....2..3....0..3....0..3....1..2

%e ..2..2....1..3....1..2....3..0....3..3....0..3....2..3....1..2....2..1....2..1

%e ..2..3....3..2....0..3....1..3....3..3....2..1....3..3....2..2....1..3....1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013