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Number of (n+2)X5 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 610,1189,2547,5407,11331,23851,50897,109489,236402,512911,1118772,

%T 2440948,5333293,11686972,25595013,56075719,123070849,269926981,

%U 592042603,1300024973,2853037552,6260804838,13749466588,30182600469

%N Number of (n+2)X5 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 3 of A204492

%H R. H. Hardin, <a href="/A204487/b204487.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) -20*a(n-7) +20*a(n-8) -15*a(n-9) +48*a(n-10) -10*a(n-11) +20*a(n-12) -21*a(n-13) -5*a(n-14) -6*a(n-15) -3*a(n-16) +4*a(n-17) for n>25

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012