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Number of length 5+3 0..n arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth.
1

%I #6 Aug 19 2022 12:29:43

%S 162,2792,22572,173368,774542,2863158,8930228,24208540,58678014,

%T 131166548,271342248,530208888,984847110,1749649576,2991055892,

%U 4952207778,7952016454,12442258472,19016036460,28452979568,41758209826

%N Number of length 5+3 0..n arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth.

%C Row 5 of A249290.

%H R. H. Hardin, <a href="/A249295/b249295.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

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

%Y Cf. A249290.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 24 2014