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A204486 Number of (n+2)X4 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

%S 214,511,1189,2627,5804,12861,28743,64707,146082,330644,750551,

%T 1704263,3871635,8805671,20024492,45534930,103602511,235678796,

%U 536072298,1219716427,2774892264,6312360407,14361996073,32674647931,74332115679

%N Number of (n+2)X4 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 2 of A204492

%H R. H. Hardin, <a href="/A204486/b204486.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +10*a(n-3) -6*a(n-4) -10*a(n-5) -17*a(n-6) -3*a(n-7) +23*a(n-8) -3*a(n-9) +37*a(n-10) -19*a(n-11) +26*a(n-12) -48*a(n-13) +4*a(n-14) -19*a(n-15) +21*a(n-16) +a(n-17) +4*a(n-18) -2*a(n-19) for n>29

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified January 21 03:47 EST 2022. Contains 350473 sequences. (Running on oeis4.)