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Number of length 5+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth
1

%I #4 Oct 08 2014 04:03:39

%S 2,15,52,149,462,907,2000,3827,6566,9607,13716,19361,26626,35005,

%T 45144,57553,72370,89055,108244,130139,155466,183111,214128,250561,

%U 289902,332521,379740,431741,487886,547037,610576,680137,755678,835739,919484

%N Number of length 5+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth

%C Row 5 of A248537

%H R. H. Hardin, <a href="/A248542/b248542.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

%e ..3....4....2....4....6....0....5....1....3....0....6....3....6....3....1....4

%e ..2....3....4....6....1....2....4....6....5....6....2....4....3....0....6....1

%e ..5....3....1....2....3....3....6....3....4....0....1....3....4....3....3....1

%e ..2....6....1....4....2....3....5....2....4....2....3....2....3....2....2....2

%e ..3....4....2....4....2....4....1....1....3....0....2....3....6....3....1....0

%e ..2....3....0....6....1....6....4....2....5....6....2....4....3....4....2....5

%e ..1....3....1....2....3....3....6....3....4....0....1....3....0....3....3....1

%e ..2....6....5....4....6....3....5....6....0....2....3....6....3....2....2....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 08 2014