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A250366 Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms 1

%I #5 Nov 19 2014 16:30:51

%S 93,151,252,424,714,1198,1996,3292,5464,9138,15356,25874,43654,73684,

%T 124372,210049,355170,601345,1019254,1728973,2934563,4983010,8464698,

%U 14384753,24454971,41590601,70756107,120406541,204943704,348902096

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

%C Column 1 of A250373

%H R. H. Hardin, <a href="/A250366/b250366.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) +6*a(n-7) -7*a(n-8) -2*a(n-9) -7*a(n-10) -5*a(n-11) -6*a(n-12) +a(n-13) -22*a(n-14) +6*a(n-15) +11*a(n-16) +20*a(n-17) +22*a(n-18) +33*a(n-19) +3*a(n-20) +47*a(n-21) +11*a(n-22) -15*a(n-23) -27*a(n-24) -38*a(n-25) -60*a(n-26) -11*a(n-27) -62*a(n-28) -28*a(n-29) +11*a(n-30) +21*a(n-31) +36*a(n-32) +55*a(n-33) +10*a(n-34) +51*a(n-35) +23*a(n-36) -11*a(n-37) -10*a(n-38) -21*a(n-39) -29*a(n-40) -4*a(n-41) -27*a(n-42) -8*a(n-43) +6*a(n-44) +2*a(n-45) +7*a(n-46) +8*a(n-47) +a(n-48) +8*a(n-49) +a(n-50) -a(n-51) -a(n-53) -a(n-54) -a(n-56)

%e Some solutions for n=6

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2014

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Last modified February 24 11:15 EST 2024. Contains 370303 sequences. (Running on oeis4.)