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%I #7 Apr 20 2020 21:13:11
%S 49,189,812,3831,19575,107068,620051,3761768,23672967,153195068,
%T 1012193894,6790031062,46049430032,314747056865,2163216369847,
%U 14925717570522,103268459621107,715886439482974,4969531078567004
%N Number of length n+4 0..6 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..6 introduced in 0..6 order.
%C Column 6 of A244185.
%H R. H. Hardin, <a href="/A244181/b244181.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) -14*a(n-2) -109*a(n-3) -50*a(n-4) +561*a(n-5) +1905*a(n-6) +2485*a(n-7) -1765*a(n-8) -16073*a(n-9) -42234*a(n-10) -71345*a(n-11) -80685*a(n-12) -38274*a(n-13) +82534*a(n-14) +284947*a(n-15) +538989*a(n-16) +786421*a(n-17) +962575*a(n-18) +1022055*a(n-19) +956487*a(n-20) +794930*a(n-21) +587882*a(n-22) +386232*a(n-23) +224067*a(n-24) +113614*a(n-25) +49515*a(n-26) +18041*a(n-27) +5264*a(n-28) +1116*a(n-29) +144*a(n-30).
%e Some solutions for n=6
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....0....1....1....1....1....1....1....1....0....1....1....1....1....1
%e ..1....2....1....0....2....0....0....2....2....2....1....2....2....2....2....2
%e ..2....3....1....0....1....0....2....1....1....2....1....0....0....2....0....1
%e ..3....4....1....2....2....2....1....3....3....2....0....0....3....2....1....3
%e ..4....1....1....3....3....1....2....4....1....3....2....2....4....3....0....2
%e ..5....4....0....0....3....3....2....0....1....0....3....3....2....0....3....1
%e ..0....5....2....2....4....1....0....1....3....2....1....3....2....4....1....4
%e ..3....6....1....3....0....4....3....3....3....4....1....1....0....0....2....4
%e ..3....0....2....3....0....2....1....0....2....3....1....3....2....0....1....3
%Y Cf. A244185.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 21 2014
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