A205022 - OEIS

%I #5 Mar 31 2012 12:37:04

%S 15040,275853,7148335,198539736,5296848762,139786868632,3650380799573,

%T 95296479247095,2482224861095909,64689991305033086,

%U 1685161844199556108,43911745208302175122,1144174123712107860716,29816968100738943831243

%N Number of (n+1)X4 0..3 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 3 of A205027

%H R. H. Hardin, <a href="/A205022/b205022.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 56*a(n-1) -742*a(n-2) -9488*a(n-3) +284911*a(n-4) -1227272*a(n-5) -17654568*a(n-6) +180271872*a(n-7) -212758272*a(n-8) -3603750912*a(n-9) +17151492096*a(n-10) -28116025344*a(n-11) +14619377664*a(n-12) for n>27

%e Some solutions for n=4

%e ..0..3..0..3....1..0..1..3....3..0..3..1....1..2..3..3....1..0..0..3

%e ..1..2..0..3....3..0..0..0....1..0..2..1....2..2..2..2....2..0..0..3

%e ..1..0..0..1....2..0..3..3....3..0..2..2....0..0..0..0....2..0..0..1

%e ..2..0..0..3....1..0..1..1....1..0..1..2....3..0..2..2....1..0..0..2

%e ..0..0..0..1....2..0..3..3....1..0..0..2....2..0..3..3....3..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 21 2012