|
%I #8 Nov 03 2018 10:32:12
%S 38,108,306,867,2457,6963,19732,55918,158464,449066,1272593,3606359,
%T 10219940,28961947,82074294,232587601,659122234,1867864486,5293278783,
%U 15000445958,42509262812,120465580152,341383384261,967434971076
%N Number of length n+4 0..2 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..2 introduced in 0..2 order.
%H R. H. Hardin, <a href="/A244177/b244177.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 3*a(n-2) + 4*a(n-3) + 5*a(n-4) + 3*a(n-5) + 2*a(n-6).
%F Empirical g.f.: x*(38 + 70*x + 84*x^2 + 85*x^3 + 50*x^4 + 27*x^5) / (1 - x - 3*x^2 - 4*x^3 - 5*x^4 - 3*x^5 - 2*x^6). - _Colin Barker_, Nov 03 2018
%e Some solutions for n=6:
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....1....1....0....0....1....0....1....1....0....1....0....0....0....1
%e ..0....1....2....1....1....1....0....1....2....2....1....1....1....1....1....2
%e ..1....0....2....2....0....2....2....2....1....0....2....2....0....0....2....0
%e ..1....2....1....1....0....1....1....2....0....1....1....1....0....1....2....2
%e ..1....1....0....0....0....1....2....1....2....2....1....2....2....1....2....2
%e ..1....0....1....2....2....2....1....0....1....0....0....2....0....0....0....0
%e ..0....1....1....2....2....2....1....1....2....1....1....0....0....2....1....0
%e ..0....0....1....1....1....0....0....1....0....2....0....1....1....0....1....1
%e ..1....0....1....0....1....0....2....1....1....0....0....1....0....2....2....2
%Y Column 2 of A244185.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 21 2014
| 