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Number of length 1+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 20:43:12

%S 2,395,2258,11177,39066,115437,287988,650085,1339852,2581121,4671630,

%T 8093245,13377140,21392687,33096114,49833787,73122200,105132375,

%U 147967210,204844311,278931122,374403885,495751168,648915047,839349796

%N Number of length 1+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 1 of A249171

%H R. H. Hardin, <a href="/A249172/b249172.txt">Table of n, a(n) for n = 1..38</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 22 2014