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A207491 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically.

%I A207491 #7 Apr 23 2021 13:54:56
%S A207491 22,484,942,3947,12151,26980,73325,170276,397692,935992,2150515,
%T A207491 5001837,11588452,26898291,62652794,146079354,341212080,797873693,
%U A207491 1867537041,4374817504,10252438677,24034757838,56361090296,132187700546
%N A207491 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically.
%C A207491 Row 6 of A207488.
%H A207491 R. H. Hardin, <a href="/A207491/b207491.txt">Table of n, a(n) for n = 1..210</a>
%F A207491 Empirical: a(n) = 2*a(n-1) +3*a(n-2) +12*a(n-3) -33*a(n-4) -44*a(n-5) -86*a(n-6) +253*a(n-7) +407*a(n-8) +498*a(n-9) -1384*a(n-10) -2637*a(n-11) -2244*a(n-12) +6286*a(n-13) +12205*a(n-14) +7016*a(n-15) -23663*a(n-16) -40932*a(n-17) -14110*a(n-18) +70545*a(n-19) +101985*a(n-20) +15225*a(n-21) -163031*a(n-22) -193527*a(n-23) +3004*a(n-24) +291445*a(n-25) +285598*a(n-26) -42248*a(n-27) -405542*a(n-28) -334195*a(n-29) +81539*a(n-30) +443779*a(n-31) +315209*a(n-32) -95416*a(n-33) -385988*a(n-34) -241702*a(n-35) +79851*a(n-36) +268799*a(n-37) +150149*a(n-38) -51102*a(n-39) -149967*a(n-40) -74362*a(n-41) +25852*a(n-42) +66535*a(n-43) +28625*a(n-44) -10424*a(n-45) -23158*a(n-46) -8295*a(n-47) +3313*a(n-48) +6219*a(n-49) +1737*a(n-50) -808*a(n-51) -1263*a(n-52) -248*a(n-53) +144*a(n-54) +188*a(n-55) +22*a(n-56) -17*a(n-57) -19*a(n-58) -a(n-59) +a(n-60) +a(n-61).
%e A207491 Some solutions for n=4
%e A207491 ..1..1..1..1....0..1..0..1....0..1..0..1....1..0..0..1....1..0..1..0
%e A207491 ..0..0..1..0....0..1..0..0....1..0..0..1....0..1..0..1....0..0..1..0
%e A207491 ..1..0..1..0....1..1..0..0....0..1..0..1....1..0..0..1....0..0..1..0
%e A207491 ..0..0..1..0....0..1..0..0....1..0..0..1....0..1..0..1....0..0..1..0
%e A207491 ..0..0..1..0....0..1..0..1....0..1..0..1....1..0..0..1....1..1..1..0
%e A207491 ..0..0..1..0....1..1..0..0....1..0..0..1....0..1..0..1....0..0..1..0
%Y A207491 Cf. A207488.
%K A207491 nonn
%O A207491 1,1
%A A207491 _R. H. Hardin_ Feb 18 2012