%I #6 Jul 02 2012 15:57:23
%S 24950,9318805,641631566,17609835599,269462676001,2747459653062,
%T 20767436139206,124705556762920,623826151413581,2689745345189961,
%U 10252109460663720,35217218076189536,110684300106966444
%N Number of 4X4 nonnegative integer matrices with row and column i=1..4 having sum <= i*n
%C Row 4 of A214011
%H R. H. Hardin, <a href="/A214013/b214013.txt">Table of n, a(n) for n = 1..16</a>
%e Some solutions for n=3
%e ..0..0..0..0....0..0..0..2....0..0..3..0....1..2..0..0....0..0..0..0
%e ..0..6..0..0....0..1..2..3....0..4..0..0....0..0..4..0....0..0..0..0
%e ..0..0..3..0....0..1..6..0....0..0..6..0....0..0..0..0....0..2..2..4
%e ..2..0..6..3....0..0..0..0....0..1..0..9....0..3..0..0....0..4..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jun 30 2012