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Number of (n+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
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%I #4 Nov 30 2013 09:41:55

%S 7,45,650,24520,2625117,836488618,738302560541,1865508300225137

%N Number of (n+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing

%C Diagonal of A232797

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013