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Number of length 4+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 Apr 27 2023 14:56:59

%S 88,1094,6960,40588,150112,469072,1263044,3011088,6514660,13131956,

%T 24755440,44396112,76182120,125764540,200780652,311698092,471201156,

%U 696406084,1008398272,1433424724,2003585272,2758886876,3745643452

%N Number of length 4+3 0..n arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth.

%C Row 4 of A249290.

%H R. H. Hardin, <a href="/A249294/b249294.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

%e ..5....1....2....3....0....0....0....2....5....4....4....1....1....1....1....4

%e ..3....5....4....2....5....4....4....1....5....1....2....3....3....0....3....0

%e ..5....5....5....1....4....0....4....0....1....1....1....1....3....5....2....0

%e ..3....1....1....5....5....3....1....0....2....5....5....2....4....0....5....3

%e ..5....5....4....1....5....3....0....1....3....4....4....1....1....2....4....4

%e ..0....2....5....5....1....4....0....4....1....5....1....2....3....3....3....0

%Y Cf. A249290.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 24 2014