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%I #4 Oct 08 2014 03:55:47
%S 512,704,992,1412,2000,2960,4424,6644,9968,15356,23648,36380,55856,
%T 87680,137072,213500,331424,525044,827144,1296776,2024480,3222092,
%U 5096048,8016536,12551888,20024372,31734104,50006852,78415616,125248544
%N Number of length n+3 0..7 arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth
%C Column 7 of A248537
%H R. H. Hardin, <a href="/A248536/b248536.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +12*a(n-4) -12*a(n-5) -47*a(n-8) +47*a(n-9) +81*a(n-12) -81*a(n-13) -76*a(n-16) +76*a(n-17) +36*a(n-20) -36*a(n-21) -8*a(n-24) +8*a(n-25)
%e Some solutions for n=6
%e ..4....0....0....4....1....7....2....5....2....3....3....7....3....1....4....6
%e ..4....3....3....5....2....0....0....3....6....5....6....0....1....3....7....3
%e ..5....3....5....3....0....5....2....4....4....4....5....4....4....5....3....3
%e ..3....6....4....4....5....4....4....4....4....4....6....5....4....3....2....4
%e ..0....4....4....4....1....3....2....1....2....3....7....3....7....1....4....2
%e ..4....3....7....1....2....4....0....3....6....5....6....4....5....3....3....3
%e ..5....3....5....7....0....5....2....4....4....4....5....4....0....5....3....3
%e ..3....6....0....4....1....0....4....4....4....0....2....1....4....3....6....0
%e ..0....4....4....4....5....7....2....5....2....7....7....7....7....1....4....6
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 08 2014
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