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%I #3 Nov 28 2014 11:02:19
%S 640002,2304492,5640102,11227928,19649066,31484612,47315662,67723312,
%T 93288658,124592796,162216822,206741832,258748922,318819188,387533726,
%U 465473632,553220002,651353932,760456518,881108856,1013892042,1159387172
%N Number of (7+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction
%C Row 7 of A250877
%F Empirical: a(n) = (290548/3)*n^3 + 254464*n^2 + (669458/3)*n + 65536
%e Some solutions for n=1
%e ..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
%e ..2..2....1..2....2..2....0..0....1..1....2..2....2..2....1..1....1..1....0..0
%e ..1..2....0..1....3..3....1..1....2..2....1..1....0..0....1..1....0..1....1..1
%e ..0..1....2..3....2..2....1..1....1..1....2..2....1..1....2..2....1..2....2..2
%e ..1..2....0..1....1..1....0..0....3..3....2..2....2..2....2..2....0..2....1..1
%e ..0..1....1..2....3..3....1..1....3..3....3..3....0..1....1..1....0..2....0..1
%e ..1..3....2..3....1..1....2..2....0..0....1..1....1..3....0..0....0..2....0..1
%e ..0..3....0..2....1..1....1..3....0..3....0..3....0..2....3..3....0..3....1..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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