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

%I #3 Dec 08 2013 06:24:56

%S 57,849,10477,117318,1206656,11689997,106244229,895749726,6977171013,

%T 50507900590

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

%C Row 5 of A233366

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2013