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 A244182 Number of length n+4 0..7 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..7 introduced in 0..7 order 1

%I

%S 49,189,812,3832,19611,107818,631917,3920234,25559691,173884143,

%T 1225577275,8889979382,65971409679,498317038285,3815480847788,

%U 29515868843207,230098500219893,1804162547508522,14206951882147476

%N Number of length n+4 0..7 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..7 introduced in 0..7 order

%C Column 7 of A244185

%H R. H. Hardin, <a href="/A244182/b244182.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -57*a(n-2) -146*a(n-3) +471*a(n-4) +2030*a(n-5) +1606*a(n-6) -9926*a(n-7) -40696*a(n-8) -72180*a(n-9) -23242*a(n-10) +262788*a(n-11) +948320*a(n-12) +2028394*a(n-13) +3106669*a(n-14) +3270400*a(n-15) +1237472*a(n-16) -4174278*a(n-17) -13394281*a(n-18) -25599412*a(n-19) -38689072*a(n-20) -49852288*a(n-21) -56526936*a(n-22) -57307380*a(n-23) -52390492*a(n-24) -43372994*a(n-25) -32559403*a(n-26) -22139372*a(n-27) -13590504*a(n-28) -7488422*a(n-29) -3670971*a(n-30) -1580476*a(n-31) -586225*a(n-32) -181844*a(n-33) -44951*a(n-34) -8042*a(n-35) -840*a(n-36)

%e Some solutions for n=3

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..0....1....1....0....1....0....1....1....1....1....0....0....0....1....1....1

%e ..1....2....2....0....2....1....1....0....2....2....0....0....1....2....1....2

%e ..0....1....3....1....1....2....2....2....1....0....1....0....1....3....2....3

%e ..1....1....0....2....1....0....0....0....2....0....1....1....1....1....1....0

%e ..1....0....2....0....0....0....3....3....0....3....1....0....2....4....3....4

%e ..0....3....1....1....1....0....1....1....1....3....2....2....3....3....1....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 21 2014

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Last modified April 1 09:50 EDT 2023. Contains 361688 sequences. (Running on oeis4.)