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Number of (n+1)X(6+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock
1

%I #4 Jan 16 2014 14:29:32

%S 26189,482809,7234417,124394337,2053474753,35883075329,632701301249,

%T 11571312666753,216925831550465,4198207054934401,83584114997995777,

%U 1712426772179540097,36001893343301744641,774894408114891798401

%N Number of (n+1)X(6+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock

%C Column 6 of A235902

%H R. H. Hardin, <a href="/A235900/b235900.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 73*a(n-1) -1472*a(n-2) -10728*a(n-3) +630992*a(n-4) -1986032*a(n-5) -104786432*a(n-6) +555443712*a(n-7) +9789898752*a(n-8) -43326369792*a(n-9) -560505618432*a(n-10) +824673042432*a(n-11) +15817211117568*a(n-12) +30963778191360*a(n-13)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014