A204333 - OEIS

%I #9 Jul 07 2014 03:02:47

%S 22294,947240,28167739,618981328,11129487382,167047130892,

%T 2182013404785,25223785164840,263429302921267,2516401943818334,

%U 22254660740122213,183832573199251582,1429690614799434987,10535427034666117628

%N Number of (n+1) X 3 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 2 of A204339.

%H R. H. Hardin, <a href="/A204333/b204333.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 14 2012