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Number of length 4+5 0..n 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 Sep 06 2022 10:25:04

%S 136,3888,60744,448148,2325864,9772492,34184700,102003646,280506352,

%T 694716964,1591981864,3441580468,7017193772,13588351272,25335534664,

%U 45379544842,78550414352,132184098358,216354909052,345309250322

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

%C Row 4 of A249233.

%H R. H. Hardin, <a href="/A249237/b249237.txt">Table of n, a(n) for n = 1..29</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

%Y Cf. A249233.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 23 2014