cp's OEIS Frontend

A243517 Number of length n+2 0..8 arrays with no three elements in a row with pattern aba or abb (with a!=b) and new values 0..8 introduced in 0..8 order.

%I A243517 #8 Nov 02 2018 12:25:20
%S A243517 3,5,10,25,77,280,1157,5296,26406,141585,807064,4837587,30181075,
%T A243517 194210670,1279159631,8571132698,58153599684,398124806735,
%U A243517 2743173705258,18987825983429,131858977691833,917797527716980,6398758306106345
%N A243517 Number of length n+2 0..8 arrays with no three elements in a row with pattern aba or abb (with a!=b) and new values 0..8 introduced in 0..8 order.
%H A243517 R. H. Hardin, <a href="/A243517/b243517.txt">Table of n, a(n) for n = 1..210</a>
%F A243517 Empirical: a(n) = 23*a(n-1) - 212*a(n-2) + 1010*a(n-3) - 2669*a(n-4) + 3887*a(n-5) - 2878*a(n-6) + 840*a(n-7).
%F A243517 Empirical g.f.: x*(3 - 64*x + 531*x^2 - 2175*x^3 + 4579*x^4 - 4607*x^5 + 1680*x^6) / ((1 - x)^2*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)). - _Colin Barker_, Nov 02 2018
%e A243517 Some solutions for n=5:
%e A243517 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A243517 ..1....1....1....1....1....1....0....0....0....1....1....1....0....1....1....1
%e A243517 ..2....2....2....2....2....2....1....0....0....2....2....2....0....2....2....2
%e A243517 ..3....3....3....3....3....3....2....0....0....0....3....3....1....0....3....3
%e A243517 ..4....1....0....0....0....0....3....0....0....3....4....1....2....3....1....4
%e A243517 ..5....0....1....4....2....2....0....1....0....4....1....0....3....4....2....1
%e A243517 ..0....4....3....5....1....4....4....2....0....2....3....2....4....0....3....5
%Y A243517 Column 8 of A243519.
%K A243517 nonn
%O A243517 1,1
%A A243517 _R. H. Hardin_, Jun 05 2014