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%I #4 Jun 21 2014 21:30:36
%S 49,189,812,3832,19612,107864,633127,3944198,25957707,179748699,
%T 1304866401,9895505873,78115688620,639534934283,5409376917607,
%U 47084810672681,420119843639294,3828299665916480,35504637012253021
%N Number of length n+4 0..9 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..9 introduced in 0..9 order
%C Column 9 of A244185
%H R. H. Hardin, <a href="/A244184/b244184.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 29*a(n-1) -277*a(n-2) +655*a(n-3) +3400*a(n-4) -7802*a(n-5) -49606*a(n-6) -30159*a(n-7) +403108*a(n-8) +1503590*a(n-9) +1635899*a(n-10) -5652490*a(n-11) -31339466*a(n-12) -77219594*a(n-13) -98298345*a(n-14) +54151570*a(n-15) +669953408*a(n-16) +2120355686*a(n-17) +4618747926*a(n-18) +7785441378*a(n-19) +10142532705*a(n-20) +8820633444*a(n-21) -184894715*a(n-22) -21013605262*a(n-23) -56342602223*a(n-24) -105733609417*a(n-25) -164683705023*a(n-26) -224995549990*a(n-27) -276580511002*a(n-28) -310166430329*a(n-29) -319929413204*a(n-30) -305057789374*a(n-31) -269700758984*a(n-32) -221428750153*a(n-33) -168899208188*a(n-34) -119626976395*a(n-35) -78560246496*a(n-36) -47719787532*a(n-37) -26718125970*a(n-38) -13723716584*a(n-39) -6426330933*a(n-40) -2720546834*a(n-41) -1029660492*a(n-42) -343102672*a(n-43) -98490588*a(n-44) -23573519*a(n-45) -4460436*a(n-46) -603108*a(n-47) -45360*a(n-48)
%e Some solutions for n=2
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....1....0....0....1....0....1....1....0....1....1....1....1....0....1
%e ..2....1....1....1....0....1....1....1....1....1....2....1....1....1....1....2
%e ..0....1....0....2....1....1....2....0....1....2....3....0....2....0....0....1
%e ..2....0....1....3....0....1....2....2....1....1....4....2....3....0....0....2
%e ..0....0....0....1....1....0....1....1....2....0....2....2....3....1....1....2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 21 2014
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