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Number of (n+1)X8 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
0

%I #4 Mar 31 2012 12:36:58

%S 39889619,749063366121,78614554935810312,8110443447372955603425,

%T 675997322694333574295767738

%N Number of (n+1)X8 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

%C Column 7 of A203896

%e Some solutions for n=4

%e ..4..1..4..2..2..4..4..4....2..0..4..2..4..2..2..1....2..3..2..1..4..2..2..3

%e ..1..4..2..4..4..4..4..4....0..3..0..2..0..2..2..3....3..2..3..4..2..4..4..3

%e ..1..4..4..4..4..2..2..4....1..4..1..0..4..2..4..3....1..4..3..2..4..2..2..3

%e ..4..2..1..4..4..4..4..0....3..3..2..2..0..2..0..3....4..2..3..4..0..2..3..2

%e ..3..3..2..2..2..1..2..3....3..3..4..2..1..3..0..1....2..4..3..2..4..2..0..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012