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Number of (1+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..1+1} nondecreasing
1

%I #4 Dec 02 2013 04:11:43

%S 83,527,2751,12556,51716,196332,698368,2354506,7588856,23546007,

%T 70707020,206386734,587661423,1637093549,4472821323,12010323349,

%U 31751145484,82765882160,213010026700,541875786236,1363898055174,3399595078284

%N Number of (1+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..1+1} nondecreasing

%C Row 1 of A232886

%H R. H. Hardin, <a href="/A232887/b232887.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=5

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013