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Number of length n+5 0..4 arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four.
1

%I #6 Apr 17 2023 15:23:19

%S 10620,36880,128436,448148,1566052,5479172,19188990,67392884,

%T 236812732,832339890,2925863658,10285884920,36163850136,127208446490,

%U 447538047006,1574600351516,5540083564394,19492125637516,68581278998890

%N Number of length n+5 0..4 arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four.

%C Column 4 of A249233.

%H R. H. Hardin, <a href="/A249229/b249229.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%Y Cf. A249233.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 23 2014