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A230736 Number of (n+3)X(2+3) 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 1

%I #4 Oct 28 2013 20:27:54

%S 8,66,244,2016,6576,54138,173428,1427040,4558536,37506738,119758148,

%T 985334832,3145930352,25883741898,82639468964,679931791152,

%U 2170826159272,17860880147874,57024624645332,469180811419968,1497958570841456

%N Number of (n+3)X(2+3) 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Column 2 of A230739

%H R. H. Hardin, <a href="/A230736/b230736.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-2) -126*a(n-4) +42*a(n-6) +79*a(n-8) -a(n-10) +8*a(n-12)

%e Some solutions for n=3

%e ..x..0..x..0..x....x..0..x..1..x....x..0..x..2..x....x..0..x..0..x

%e ..2..x..1..x..1....1..x..2..x..0....2..x..1..x..0....2..x..1..x..2

%e ..x..1..x..2..x....x..2..x..1..x....x..1..x..1..x....x..2..x..2..x

%e ..0..x..0..x..1....1..x..0..x..0....0..x..2..x..0....0..x..0..x..1

%e ..x..0..x..2..x....x..2..x..2..x....x..0..x..2..x....x..1..x..0..x

%e ..2..x..1..x..1....1..x..1..x..1....2..x..1..x..1....0..x..2..x..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 28 2013

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Last modified May 8 08:13 EDT 2024. Contains 372319 sequences. (Running on oeis4.)