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%I #4 Sep 23 2014 06:35:01
%S 440,1592,5796,21152,77236,282384,1032952,3779018,13825712,50587924,
%T 185112244,677378582,2478738332,9070607046,33193012732,121467142552,
%U 444499919836,1626617553810,5952507849748,21782859518402,79713149293808
%N Number of length n+3 0..4 arrays with no disjoint pairs in any consecutive four terms having the same sum
%C Column 4 of A247726
%H R. H. Hardin, <a href="/A247722/b247722.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -6*a(n-2) +20*a(n-3) +54*a(n-4) -66*a(n-5) +313*a(n-6) -619*a(n-7) -797*a(n-8) -493*a(n-9) -5172*a(n-10) +1690*a(n-11) -2554*a(n-12) -84*a(n-13) +563*a(n-14) +3103*a(n-15) +12407*a(n-16) +10585*a(n-17) +147780*a(n-18) -40884*a(n-19) +31860*a(n-20) -71368*a(n-21) -151570*a(n-22) +112176*a(n-23) +332750*a(n-24) +324290*a(n-25) -1170072*a(n-26) -16160*a(n-27) -274274*a(n-28) +949452*a(n-29) +1863096*a(n-30) -195890*a(n-31) -2817928*a(n-32) -3449516*a(n-33) +2141463*a(n-34) +2233863*a(n-35) +3747347*a(n-36) +474055*a(n-37) -4040991*a(n-38) -2274839*a(n-39) -660322*a(n-40) +2250384*a(n-41) +934278*a(n-42) +180486*a(n-43) -56268*a(n-44) -559872*a(n-45)
%e Some solutions for n=5
%e ..1....0....3....2....4....0....0....4....3....3....0....0....4....4....0....0
%e ..1....0....0....1....1....2....0....2....4....3....3....2....1....3....4....0
%e ..2....1....2....0....4....4....2....4....2....1....2....4....4....0....1....2
%e ..1....0....4....0....0....3....4....4....4....3....0....0....4....2....0....0
%e ..3....2....1....3....4....0....3....1....0....0....3....4....2....4....0....0
%e ..3....4....1....4....1....4....0....4....1....1....0....3....1....0....2....1
%e ..3....1....1....0....2....4....4....2....1....3....2....3....0....3....0....2
%e ..2....0....4....2....4....2....2....1....3....0....3....3....2....3....1....4
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 23 2014
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