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A207343 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207343 #7 Jul 22 2025 20:18:31
%S A207343 13,169,426,2190,9668,41112,186002,828530,3625724,16156680,71713022,
%T A207343 316670472,1405263307,6230358367,27580548686,122260297698,
%U A207343 541844851805,2400338788073,10637278675771,47137626165435,208858393685960
%N A207343 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207343 Column 5 of A207346
%H A207343 R. H. Hardin, <a href="/A207343/b207343.txt">Table of n, a(n) for n = 1..210</a>
%F A207343 Empirical: a(n) = 2*a(n-2) +142*a(n-3) +25*a(n-4) -76*a(n-5) -7517*a(n-6) -1414*a(n-7) +2100*a(n-8) +205982*a(n-9) +36227*a(n-10) -92234*a(n-11) -3276429*a(n-12) -559640*a(n-13) +2599269*a(n-14) +31462288*a(n-15) +5253011*a(n-16) -38830124*a(n-17) -178524942*a(n-18) -24783450*a(n-19) +321140553*a(n-20) +508121692*a(n-21) +1933990*a(n-22) -1458712762*a(n-23) +44222770*a(n-24) +549516956*a(n-25) +3027980773*a(n-26) -4954201220*a(n-27) -2467635974*a(n-28) +1263935262*a(n-29) +12853959781*a(n-30) +4360492134*a(n-31) -19121142407*a(n-32) -2856235556*a(n-33) -2846492287*a(n-34) +32010050132*a(n-35) -38074585787*a(n-36) +2870216876*a(n-37) -5099865785*a(n-38) +54506580358*a(n-39) -9940846329*a(n-40) -32093497108*a(n-41) +1693414185*a(n-42) +7856384652*a(n-43) +18117413314*a(n-44) -47496771974*a(n-45) +6033011083*a(n-46) +14580861592*a(n-47) +17090723801*a(n-48) -8322425676*a(n-49) -12744999242*a(n-50) +16395471664*a(n-51) +1018385959*a(n-52) -643669244*a(n-53) -9111684410*a(n-54) +1984826700*a(n-55) +2360569314*a(n-56) -1977831880*a(n-57) -843821707*a(n-58) -734158008*a(n-59) +1351638955*a(n-60) -179792634*a(n-61) +87826677*a(n-62) +93480214*a(n-63) +114129390*a(n-64) +45403000*a(n-65) -52361335*a(n-66) +7061132*a(n-67) -8723102*a(n-68) -569724*a(n-69) +1511822*a(n-70) +415800*a(n-71) +1120901*a(n-72) -52430*a(n-73) +182906*a(n-74) +37698*a(n-75) +10240*a(n-76) -11826*a(n-77) +180*a(n-78) -1776*a(n-79) -30*a(n-80) -34*a(n-81) -24*a(n-82) for n>86
%e A207343 Some solutions for n=4
%e A207343 ..1..0..0..1..0....1..0..1..0..0....1..0..1..0..1....0..0..1..0..0
%e A207343 ..1..1..0..0..1....1..0..1..0..1....0..1..0..1..0....1..1..0..0..1
%e A207343 ..0..0..1..0..0....0..1..0..1..0....0..1..0..1..0....0..1..0..1..0
%e A207343 ..1..1..1..1..0....0..1..0..1..0....1..0..1..0..1....1..0..1..0..1
%K A207343 nonn
%O A207343 1,1
%A A207343 _R. H. Hardin_ Feb 17 2012