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A205266 Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order 1

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

%S 223,1606,11553,82991,596414,4285989,30799890,221334561,1590556222,

%T 11430067537,82138844381,590266825510,4241780221403,30482315247698,

%U 219052259713035,1574155115721354,11312206190476013,81291867375432163

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

%C Column 1 of A205273

%H R. H. Hardin, <a href="/A205266/b205266.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +5*a(n-2) +26*a(n-3) -6*a(n-4) +14*a(n-5) -44*a(n-6) +23*a(n-7) +10*a(n-8) -15*a(n-9) -12*a(n-10) -12*a(n-11)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 24 2012

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)