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A204490 Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order 1

%I #5 Mar 31 2012 12:37:02

%S 12809,12861,23851,44712,85756,169432,331723,640841,1254717,2491262,

%T 4987056,10038749,20323399,41251315,83846977,170847335,348525500,

%U 711463790,1455076644,2977871038,6096358186,12500137174,25643281058

%N Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order

%C Column 6 of A204492

%H R. H. Hardin, <a href="/A204490/b204490.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +9*a(n-3) -5*a(n-4) -10*a(n-5) -7*a(n-6) -28*a(n-7) +16*a(n-8) -9*a(n-9) +40*a(n-10) +5*a(n-11) +2*a(n-12) +16*a(n-13) -19*a(n-14) +10*a(n-15) -20*a(n-16) +3*a(n-17) -2*a(n-18) -5*a(n-19) +4*a(n-20) -2*a(n-21) +a(n-22) for n>33

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)