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A206934 Number of nX6 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically 1

%I

%S 44,1936,31529,410000,4293648,40316253,348614952,2858059128,

%T 22534958701,172828180260,1298426660652,9605511067593,70221871666400,

%U 508629456129228,3656965700284777,26135712341753284,185863633923365956

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

%C Column 6 of A206936

%H R. H. Hardin, <a href="/A206934/b206934.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -146*a(n-2) -813*a(n-3) +11552*a(n-4) -7114*a(n-5) -342112*a(n-6) +871689*a(n-7) +5636088*a(n-8) -22144890*a(n-9) -58072347*a(n-10) +319010828*a(n-11) +386634972*a(n-12) -3074192516*a(n-13) -1584056940*a(n-14) +21215083452*a(n-15) +2723084028*a(n-16) -108724464564*a(n-17) +10505381256*a(n-18) +422833051904*a(n-19) -96708148476*a(n-20) -1264875993888*a(n-21) +386341902528*a(n-22) +2935709293724*a(n-23) -1024595041982*a(n-24) -5315172310068*a(n-25) +1983016444112*a(n-26) +7530335893610*a(n-27) -2907559988900*a(n-28) -8359092834152*a(n-29) +3287407402328*a(n-30) +7267628258042*a(n-31) -2890264493692*a(n-32) -4939175509588*a(n-33) +1981612676306*a(n-34) +2614250910628*a(n-35) -1058413166100*a(n-36) -1071674688364*a(n-37) +438584526828*a(n-38) +337651149228*a(n-39) -140022113580*a(n-40) -80937230316*a(n-41) +34107334968*a(n-42) +14568133096*a(n-43) -6258115572*a(n-44) -1936309008*a(n-45) +850867080*a(n-46) +186036148*a(n-47) -83936265*a(n-48) -12564468*a(n-49) +5841474*a(n-50) +573787*a(n-51) -275532*a(n-52) -16686*a(n-53) +8264*a(n-54) +277*a(n-55) -140*a(n-56) -2*a(n-57) +a(n-58)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2012

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Last modified August 19 16:39 EDT 2022. Contains 356229 sequences. (Running on oeis4.)