login
Number of (n+1)X(7+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..7+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
0

%I #3 Nov 30 2013 09:45:10

%S 124,3147,127788,6552283,349972980,17452506031,738302560541,

%T 25786803621594,728236411637198

%N Number of (n+1)X(7+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..7+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing

%C Column 7 of A232797

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013