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A207771 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

%I A207771 #7 Jul 22 2025 20:49:31
%S A207771 16,256,912,3130,11950,43264,157472,597090,2313118,9090370,36238920,
%T A207771 145935334,591509888,2409192758,9847302712,40346159978,165583978038,
%U A207771 680396239866,2798171356888,11514485951718,47402210703538
%N A207771 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically.
%C A207771 Column 5 of A207774
%H A207771 R. H. Hardin, <a href="/A207771/b207771.txt">Table of n, a(n) for n = 1..210</a>
%F A207771 Empirical: a(n) = 7*a(n-1) -13*a(n-2) +37*a(n-3) -193*a(n-4) +198*a(n-5) -200*a(n-6) +2111*a(n-7) -706*a(n-8) -1680*a(n-9) -15455*a(n-10) -2968*a(n-11) +23932*a(n-12) +89686*a(n-13) +42523*a(n-14) -135924*a(n-15) -397777*a(n-16) -242832*a(n-17) +480995*a(n-18) +1304567*a(n-19) +900984*a(n-20) -1151770*a(n-21) -3170444*a(n-22) -2358911*a(n-23) +1881371*a(n-24) +5734358*a(n-25) +4523938*a(n-26) -2013850*a(n-27) -7704534*a(n-28) -6472008*a(n-29) +1136270*a(n-30) +7633914*a(n-31) +6933219*a(n-32) +273147*a(n-33) -5473734*a(n-34) -5531897*a(n-35) -1210046*a(n-36) +2707112*a(n-37) +3238247*a(n-38) +1221540*a(n-39) -805964*a(n-40) -1344722*a(n-41) -716875*a(n-42) +59340*a(n-43) +368035*a(n-44) +266708*a(n-45) +58709*a(n-46) -54109*a(n-47) -60550*a(n-48) -26156*a(n-49) -272*a(n-50) +7031*a(n-51) +4805*a(n-52) +1474*a(n-53) -78*a(n-54) -350*a(n-55) -185*a(n-56) -59*a(n-57) -3*a(n-58) +5*a(n-59) +2*a(n-60) +a(n-61) for n>62
%e A207771 Some solutions for n=4
%e A207771 ..1..0..1..1..0....1..0..1..0..1....0..1..1..0..0....1..0..1..1..0
%e A207771 ..0..1..1..0..0....0..0..1..0..0....1..0..0..1..1....0..1..0..1..1
%e A207771 ..1..1..0..1..0....1..0..1..0..1....1..1..0..1..1....0..1..1..0..1
%e A207771 ..1..0..0..1..0....1..0..1..0..1....1..1..0..0..1....0..0..1..1..0
%K A207771 nonn
%O A207771 1,1
%A A207771 _R. H. Hardin_ Feb 20 2012