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%I #4 Oct 18 2014 19:27:01
%S 2817,4137,6065,8873,12937,18737,30017,47953,76161,119849,185817,
%T 315929,533433,891593,1468537,2367257,4153753,7216889,12373897,
%U 20836977,34213297,60900465,107177641,185861593,316071033,523226617,937146425
%N Number of length n+4 0..6 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two
%C Column 6 of A248987
%H R. H. Hardin, <a href="/A248985/b248985.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +39*a(n-5) -39*a(n-6) -570*a(n-10) +570*a(n-11) +4091*a(n-15) -4091*a(n-16) -15591*a(n-20) +15591*a(n-21) +31408*a(n-25) -31408*a(n-26) -30261*a(n-30) +30261*a(n-31) +8974*a(n-35) -8974*a(n-36) +872*a(n-40) -872*a(n-41) +3008*a(n-45) -3008*a(n-46) -1024*a(n-50) +1024*a(n-51)
%e Some solutions for n=6
%e ..0....0....5....4....0....1....0....2....3....6....6....0....0....6....3....5
%e ..3....3....1....1....1....3....3....0....1....5....5....2....6....0....0....4
%e ..3....0....3....2....1....6....0....6....5....0....5....1....3....6....1....4
%e ..0....0....0....3....0....5....6....3....0....3....6....3....5....5....1....2
%e ..4....2....1....0....3....5....6....4....6....6....3....4....6....3....0....5
%e ..0....0....0....4....5....1....0....2....3....6....6....5....5....1....3....5
%e ..3....3....1....1....1....3....3....5....6....0....5....2....6....0....5....4
%e ..3....0....3....2....1....6....5....6....0....5....0....6....3....1....6....4
%e ..0....0....5....3....0....5....6....3....0....3....6....3....5....0....1....2
%e ..4....2....6....0....3....0....6....4....6....6....3....4....6....3....5....0
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 18 2014
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