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Number of length n+5 0..2 arrays with no disjoint triples in any consecutive six terms having the same sum
1

%I #5 Sep 28 2014 22:38:22

%S 396,702,1264,2314,4308,8150,15640,30620,60192,118756,235048,466476,

%T 927792,1850424,3692608,7372360,14725200,29421656,58802272,117563504,

%U 235061376,470020240,939884704,1879539888,3758751936,7517176032

%N Number of length n+5 0..2 arrays with no disjoint triples in any consecutive six terms having the same sum

%C Column 2 of A247995

%H R. H. Hardin, <a href="/A247989/b247989.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +10*a(n-6) -20*a(n-7) -16*a(n-12) +32*a(n-13)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 28 2014