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Number of (n+1)X4 0..7 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 12:37:01

%S 296860,28167739,1641649698,68380482851,2112336887047,52148478516988,

%T 1056518851863222,18214385897286379,272369535865540934,

%U 3605626582401347706,42838162300239816905,462748031670197579287

%N Number of (n+1)X4 0..7 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 A204339

%H R. H. Hardin, <a href="/A204334/b204334.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..5..1..7..4....2..5..6..4....1..0..5..4....0..3..5..6....2..4..6..6

%e ..0..6..4..7....5..6..5..7....5..6..4..5....7..4..5..6....7..5..5..7

%e ..2..4..6..7....5..6..7..6....6..5..7..6....4..7..6..6....5..7..7..7

%e ..0..6..7..7....4..7..6..7....4..7..6..7....5..6..7..7....6..7..7..7

%e ..0..6..7..7....5..6..7..6....7..6..7..6....6..6..7..7....6..7..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012