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A203667 Number of (n+1)X4 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 1

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

%S 111648,6780455,258487684,7178236454,150678768765,2567705516301,

%T 36453931556452,446170354019486,4795059967006464,46124639612757140,

%U 402302169592929650,3220308535488715027,23878162751692839974

%N Number of (n+1)X4 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 Column 3 of A203672

%H R. H. Hardin, <a href="/A203667/b203667.txt">Table of n, a(n) for n = 1..194</a>

%e Some solutions for n=4

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

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

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

%e ..6..3..6..3....4..6..6..6....4..6..6..6....3..5..6..6....5..6..6..6

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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Last modified February 24 17:27 EST 2024. Contains 370307 sequences. (Running on oeis4.)