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A208418 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically 1

%I

%S 26,676,4374,22509,100113,365094,1297475,4270706,13590286,42625930,

%T 130699519,399690465,1215848564,3691100941,11226074606,34145746428,

%U 104075385414,317743494589,971393987589,2974474452642,9117734590027

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

%C Column 6 of A208420

%H R. H. Hardin, <a href="/A208418/b208418.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -12*a(n-2) -48*a(n-3) +88*a(n-4) +330*a(n-5) -616*a(n-6) -1246*a(n-7) +2403*a(n-8) +3208*a(n-9) -6142*a(n-10) -6086*a(n-11) +14215*a(n-12) +184*a(n-13) -19728*a(n-14) +17098*a(n-15) +32346*a(n-16) -68142*a(n-17) -27360*a(n-18) +119682*a(n-19) +11232*a(n-20) -152692*a(n-21) +32302*a(n-22) +153870*a(n-23) -146390*a(n-24) -33772*a(n-25) +155666*a(n-26) +24560*a(n-27) -276882*a(n-28) +179250*a(n-29) +66034*a(n-30) -59910*a(n-31) -126016*a(n-32) +224358*a(n-33) -129496*a(n-34) -5192*a(n-35) +2484*a(n-36) +81390*a(n-37) -115610*a(n-38) +65672*a(n-39) -1944*a(n-40) -4040*a(n-41) -20840*a(n-42) +28830*a(n-43) -17058*a(n-44) -618*a(n-45) +9568*a(n-46) -3610*a(n-47) -3024*a(n-48) +1444*a(n-49) +1346*a(n-50) -3462*a(n-51) +3054*a(n-52) -340*a(n-53) -258*a(n-54) -224*a(n-55) +523*a(n-56) -546*a(n-57) +98*a(n-58) +78*a(n-59) -24*a(n-60) -24*a(n-61) +48*a(n-62) -10*a(n-63) -7*a(n-64) +2*a(n-65) -2*a(n-67) +a(n-68)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2012

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Last modified January 27 22:22 EST 2022. Contains 350654 sequences. (Running on oeis4.)