A243041 - OEIS

%I #4 May 29 2014 10:50:58

%S 14,47,179,759,3516,17463,91409,496910,2773138,15753844,90561096,

%T 524666847,3055232669,17850654182,104522388599,612887812613,

%U 3597118277921,21124711727370,124107523783819,729318556095320

%N Number of length n+3 0..5 arrays with no four elements in a row with pattern abab (with a!=b) and new values 0..5 introduced in 0..5 order

%C Column 5 of A243044

%H R. H. Hardin, <a href="/A243041/b243041.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -41*a(n-2) +13*a(n-3) +96*a(n-4) +33*a(n-5) -134*a(n-6) -166*a(n-7) -33*a(n-8) +82*a(n-9) +87*a(n-10) +41*a(n-11) +10*a(n-12) +a(n-13)

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 29 2014