A243385 - OEIS

%I #4 Jun 04 2014 07:26:56

%S 14,46,173,715,3145,14384,67346,319672,1529489,7351421,35426903,

%T 170980301,825907764,3991445874,19295275085,93291388393,451099271256,

%U 2181351172153,10548535213429,51011281199382,246686056919318

%N Number of length n+3 0..4 arrays with no four elements in a row with pattern abba (with a!=b) and new values 0..4 introduced in 0..4 order

%C Column 4 of A243389

%H R. H. Hardin, <a href="/A243385/b243385.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -44*a(n-2) +87*a(n-3) -107*a(n-4) +101*a(n-5) -71*a(n-6) +37*a(n-7) -16*a(n-8) +4*a(n-9) -a(n-10)

%e Some solutions for n=3

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

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

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

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

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

%e ..0....1....2....3....1....1....4....0....2....2....1....0....2....4....1....1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 04 2014