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Number of (n+1)X7 0..5 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
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%I #5 Mar 31 2012 12:37:00

%S 10808414,1186308022,88637852693,4247443759982,142896138921828,

%T 3601865763979034,71890441717085471,1179504158362844214,

%U 16408154653966945422,197794639813897768296,2104625076176364592361

%N Number of (n+1)X7 0..5 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 6 of A203944

%H R. H. Hardin, <a href="/A203942/b203942.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..5..5..5..5..5..5..5....0..5..4..5..5..5..5....0..3..3..4..5..4..5

%e ..5..5..5..5..5..5..5....1..4..5..5..5..5..5....4..2..4..5..4..5..4

%e ..5..5..5..5..5..5..5....2..4..5..5..5..5..5....2..4..5..4..5..4..5

%e ..5..5..5..5..5..5..5....2..4..5..5..5..5..5....2..5..4..5..4..5..4

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 08 2012