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Number of (n+1)X(6+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock
1

%I #4 Jan 18 2014 18:59:48

%S 46828,128920,297316,741592,1937236,5604400,14531028,38664192,

%T 103940452,281356668,753859448,2024482660,5476009648,14709558024,

%U 39423241044,106472032536,286341677420,770669642520,2071810312952,5588216314764

%N Number of (n+1)X(6+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock

%C Column 6 of A236055

%H R. H. Hardin, <a href="/A236053/b236053.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +24*a(n-4) +3*a(n-5) +4*a(n-6) +123*a(n-7) -513*a(n-9) +393*a(n-10) -1940*a(n-11) -6553*a(n-12) -2329*a(n-13) -21264*a(n-14) -12956*a(n-15) +6136*a(n-16) -13278*a(n-17) -21758*a(n-18) +155426*a(n-19) -77448*a(n-20) +448608*a(n-21) +574916*a(n-22) +20728*a(n-23) +1436288*a(n-24) +23184*a(n-25) +245120*a(n-26) +187872*a(n-27) +671424*a(n-28) +16128*a(n-29) +424000*a(n-30) -66048*a(n-31) +82944*a(n-32) +101376*a(n-34) for n>40

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014

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