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Number of 4X4 nonnegative integer matrices with row and column i=1..4 having sum <= i*n
2

%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