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Number of (5+1)X(n+1) 0..1 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..5+1} nondecreasing
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%I #3 Dec 03 2013 19:35:28

%S 132,1933,26819,334580,3849923,41069900,410815334,3882304854,

%T 34909282490,300390631126,2485871001226,19866918000644,153888527063899

%N Number of (5+1)X(n+1) 0..1 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..5+1} nondecreasing

%C Row 5 of A233062

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013