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Number of (1+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..1+1} nondecreasing
1

%I #4 Dec 03 2013 18:34:31

%S 29,106,316,830,1957,4221,8521,16235,29432,51172,85789,139287,219940,

%T 338771,510152,752978,1091268,1555433,2183826,3023745,4133269,5583604,

%U 7460602,9867269,12927471,16787371,21618978,27625365,35043248,44147007

%N Number of (1+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..1+1} nondecreasing

%C Row 1 of A233049

%H R. H. Hardin, <a href="/A233050/b233050.txt">Table of n, a(n) for n = 1..33</a>

%e Some solutions for n=5

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013