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A203664 Number of (n+1)X(n+1) 0..6 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) nondecreasing in column and row directions, respectively 0

%I #5 Mar 31 2012 12:36:57

%S 728,317138,258487684,314604157273,469214921553966,762808281322416881

%N Number of (n+1)X(n+1) 0..6 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) nondecreasing in column and row directions, respectively

%C Diagonal of A203672

%e Some solutions for n=4

%e ..2..4..0..6..5....3..2..5..1..4....3..0..2..6..4....6..6..6..6..6

%e ..4..2..6..5..6....0..5..2..6..3....1..4..4..4..6....6..6..6..6..6

%e ..0..6..5..6..6....2..3..6..3..6....3..6..6..6..6....6..6..6..6..6

%e ..5..5..6..6..6....0..6..3..6..3....6..6..6..6..6....6..6..6..6..6

%e ..6..6..6..6..6....4..3..6..3..6....6..6..6..6..6....6..6..6..6..6

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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Last modified September 15 13:23 EDT 2024. Contains 375938 sequences. (Running on oeis4.)