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Number of length 3+6 0..n arrays with every seven consecutive terms having four times the sum of some three elements equal to three times the sum of the remaining four
1

%I #4 Oct 22 2014 20:44:44

%S 2,395,2258,11177,39066,115437,435346,1301347,3254058,7250601,

%T 14586864,27468493,48432962,90680841,159195650,266270819,425175128,

%U 656161039,978109790,1420349857,2103099262,3031628829,4265730016,5881688235

%N Number of length 3+6 0..n arrays with every seven consecutive terms having four times the sum of some three elements equal to three times the sum of the remaining four

%C Row 3 of A249171

%H R. H. Hardin, <a href="/A249174/b249174.txt">Table of n, a(n) for n = 1..26</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 22 2014