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A196325 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,0,4,2 for x=0,1,2,3,4 1

%I

%S 3,23,68,295,1029,3932,15029,56415,213788,807845,3054887,11551608,

%T 43672327,165135129,624374584,2360781157,8926215203,33750290592,

%U 127611145241,482502180893,1824357955536,6897962766699,26081442528097

%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,0,4,2 for x=0,1,2,3,4

%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 4's, every 4 is next to 4 2's

%C Column 4 of A196329

%H R. H. Hardin, <a href="/A196325/b196325.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +9*a(n-3) +12*a(n-4) +24*a(n-5) +6*a(n-6) +33*a(n-7) +4*a(n-8) -28*a(n-9) -6*a(n-10) -38*a(n-11) -17*a(n-12) +3*a(n-13) -17*a(n-14) +2*a(n-15) +2*a(n-16) -2*a(n-17) +2*a(n-18) +2*a(n-19) +2*a(n-20) +a(n-21) +2*a(n-22)

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 01 2011

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)