A204335 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 3478214,618981328,68380482851,4891607353910,250869977097844,

%T 9654523816277542,294839891112676990,7351958944496756892,

%U 154467992530752816413,2788713964455710661184,44108112235516161691582

%N Number of (n+1)X5 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 4 of A204339

%H R. H. Hardin, <a href="/A204335/b204335.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

%e ..6..6..7..7..7....4..5..7..6..7....4..6..7..6..7....1..7..6..7..6

%e ..5..7..7..7..7....2..7..6..7..6....3..7..6..7..6....5..6..7..6..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012