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A217951 Number of n element 0..3 arrays with each element the minimum of 5 adjacent elements of a random 0..3 array of n+4 elements 1

%I #5 Oct 15 2012 15:59:25

%S 4,16,50,130,296,610,1177,2209,4202,8366,17569,38251,84134,183334,

%T 392284,824110,1708779,3523509,7276452,15117730,31635969,66571659,

%U 140445543,296202061,623355780,1308333724,2740013491,5731815041,11989696656

%N Number of n element 0..3 arrays with each element the minimum of 5 adjacent elements of a random 0..3 array of n+4 elements

%C Column 5 of A217954

%H R. H. Hardin, <a href="/A217951/b217951.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +6*a(n-6) -4*a(n-7) +6*a(n-8) +4*a(n-9) +5*a(n-10) +6*a(n-11) +2*a(n-12) +4*a(n-13) +3*a(n-14) +2*a(n-15) +a(n-16)

%e Some solutions for n=4

%e ..1....0....2....2....1....2....2....1....3....0....0....2....1....0....1....0

%e ..0....0....2....3....1....2....3....1....3....2....0....1....2....2....2....3

%e ..0....3....3....2....2....1....1....3....3....0....3....1....2....1....2....3

%e ..0....3....0....1....1....1....0....0....1....0....2....0....1....0....0....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 15 2012

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