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Number of (n+1)X(5+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock
1

%I #4 Jan 18 2014 18:59:11

%S 13716,38700,103986,258432,773442,1937236,5670054,14489552,42828498,

%T 109031092,320881554,817053704,2395172938,6123040492,17954877350,

%U 45915372488,134582582770,344158810996,1007983744014,2579226990872

%N Number of (n+1)X(5+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock

%C Column 5 of A236055

%H R. H. Hardin, <a href="/A236052/b236052.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-2) +10*a(n-4) +15*a(n-6) -314*a(n-8) -1389*a(n-10) +1365*a(n-12) +3415*a(n-14) +2472*a(n-16) +2424*a(n-18) +3384*a(n-20) -6192*a(n-22) +1152*a(n-24) -2304*a(n-26) for n>29

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014