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A196432 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4 2

%I

%S 4,20,75,314,1283,5311,21803,89640,369032,1517961,6244222,25688677,

%T 105682189,434759457,1788546806,7357898836,30269531965,124525282462,

%U 512282735741,2107472161705,8669896311631,35666951338042,146729718668682

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

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

%C Column 4 of A196436

%H R. H. Hardin, <a href="/A196432/b196432.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 6*a(n-2) +26*a(n-3) +57*a(n-4) +71*a(n-5) +49*a(n-6) +43*a(n-7) +35*a(n-8) +22*a(n-9) +25*a(n-10) +11*a(n-11) -5*a(n-12) -a(n-14)

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 02 2011

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Last modified October 20 18:25 EDT 2021. Contains 348111 sequences. (Running on oeis4.)