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A205317 Number of (n+1)X8 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order.

%I A205317 #7 Jul 22 2025 18:47:11
%S A205317 4376,161928,6150512,235994088,9094954742,351210375464,13574876544398,
%T A205317 524918733085720,20301876944832818,785274659708798830,
%U A205317 30375704525543067782,1175006427763697066728,45452565752953792429196
%N A205317 Number of (n+1)X8 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order.
%C A205317 Column 7 of A205318
%H A205317 R. H. Hardin, <a href="/A205317/b205317.txt">Table of n, a(n) for n = 1..210</a>
%F A205317 Empirical: a(n) = 106*a(n-1) -4578*a(n-2) +110127*a(n-3) -1685691*a(n-4) +17662632*a(n-5) -132490685*a(n-6) +732439565*a(n-7) -3041749572*a(n-8) +9607185471*a(n-9) -23244897123*a(n-10) +43214022033*a(n-11) -61676422325*a(n-12) +67255934696*a(n-13) -55515488409*a(n-14) +34166147646*a(n-15) -15313024644*a(n-16) +4816467696*a(n-17) -999456992*a(n-18) +121777664*a(n-19) -6527616*a(n-20)
%e A205317 Some solutions for n=4
%e A205317 ..0..0..0..0..1..1..0..0....0..0..1..0..1..1..1..1....0..1..0..1..1..1..0..0
%e A205317 ..1..0..1..0..1..0..0..1....0..1..1..1..1..0..1..0....1..1..1..1..0..0..0..1
%e A205317 ..1..0..0..0..1..0..1..1....1..1..0..0..0..0..1..1....1..0..0..0..0..1..0..0
%e A205317 ..0..0..1..1..1..0..0..0....0..0..0..1..0..1..1..0....0..0..1..0..1..1..0..1
%e A205317 ..0..1..1..0..0..0..1..0....0..1..1..1..0..0..1..0....1..0..1..1..1..0..0..1
%K A205317 nonn
%O A205317 1,1
%A A205317 _R. H. Hardin_ Jan 25 2012