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A207267 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically 1

%I

%S 18,324,1014,3513,14184,45520,135686,417772,1253238,3651096,10647801,

%T 30923564,88853464,254267485,725590642,2060214105,5827339605,

%U 16437397037,46220378910,129590864085,362487844504,1011664530775,2817477642474

%N Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 6 of A207269

%H R. H. Hardin, <a href="/A207267/b207267.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -35*a(n-2) +114*a(n-3) -399*a(n-4) +1079*a(n-5) -2463*a(n-6) +6127*a(n-7) -13098*a(n-8) +23694*a(n-9) -47818*a(n-10) +85704*a(n-11) -127793*a(n-12) +223478*a(n-13) -347915*a(n-14) +432707*a(n-15) -690997*a(n-16) +957544*a(n-17) -986264*a(n-18) +1521595*a(n-19) -1906256*a(n-20) +1579613*a(n-21) -2522281*a(n-22) +2871789*a(n-23) -1799626*a(n-24) +3258588*a(n-25) -3358495*a(n-26) +1404974*a(n-27) -3326664*a(n-28) +3084036*a(n-29) -636076*a(n-30) +2678402*a(n-31) -2235957*a(n-32) +8150*a(n-33) -1672281*a(n-34) +1278000*a(n-35) +212203*a(n-36) +777969*a(n-37) -564416*a(n-38) -156032*a(n-39) -251160*a(n-40) +184308*a(n-41) +55008*a(n-42) +50616*a(n-43) -41472*a(n-44) -8208*a(n-45) -5184*a(n-46) +5184*a(n-47) for n>50

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012

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Last modified June 26 07:43 EDT 2022. Contains 354877 sequences. (Running on oeis4.)