A203666 - OEIS

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

%S 10530,317138,6780455,108864887,1447373824,16256618529,160492711072,

%T 1415401335585,11371075234194,84200211332970,581264413055940,

%U 3772153171756957,23184385843754255,135761903090909843

%N Number of (n+1)X3 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 2 of A203672

%H R. H. Hardin, <a href="/A203666/b203666.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2012