A250147 - OEIS

%I #5 Nov 13 2014 21:12:33

%S 107,193,354,654,1212,2248,4166,7702,14270,26488,49213,91473,170039,

%T 316066,587450,1091860,2029557,3772854,7013851,13039135,24240444,

%U 45064052,83775863,155743025,289534518,538261784,1000662012,1860293197

%N Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms

%C Column 1 of A250154

%H R. H. Hardin, <a href="/A250147/b250147.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-3) +a(n-4) -a(n-5) +2*a(n-6) +4*a(n-7) -6*a(n-8) -5*a(n-9) +2*a(n-10) -2*a(n-11) +3*a(n-12) -4*a(n-13) -13*a(n-14) +8*a(n-15) +12*a(n-16) -4*a(n-17) +6*a(n-18) -2*a(n-19) -a(n-20) +22*a(n-21) -7*a(n-22) -11*a(n-23) +4*a(n-24) -4*a(n-25) +4*a(n-27) -17*a(n-28) +4*a(n-29) +5*a(n-30) -a(n-31) +a(n-32) -2*a(n-34) +6*a(n-35) -a(n-36) -a(n-37) -a(n-42)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2014