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Number of length 4+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 04:02:48

%S 2,15,52,137,378,715,1412,2535,4142,5939,8300,11457,15402,19957,25368,

%T 31937,39658,48283,58104,69315,82022,95815,111160,129001,148166,

%U 168873,191572,216629,243618,272009,302380,335677,371566,409531,449256,492885

%N Number of length 4+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth

%C Row 4 of A248537

%H R. H. Hardin, <a href="/A248541/b248541.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 08 2014