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A205254 Number of (n+1)X8 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same 1

%I #5 Mar 31 2012 12:37:05

%S 8752,323856,12301024,471988176,18189909484,702420750928,

%T 27149753088796,1049837466171440,40603753889665636,

%U 1570549319417597660,60751409051086135564,2350012855527394133456,90905131505907584858392

%N Number of (n+1)X8 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same

%C Column 7 of A205255

%H R. H. Hardin, <a href="/A205254/b205254.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 24 2012

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Last modified June 21 21:50 EDT 2024. Contains 373559 sequences. (Running on oeis4.)