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A231420 Number of (1+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. 1

%I #8 Sep 28 2018 15:19:28

%S 9,71,514,3838,28486,212060,1578180,11748804,87465304,651171800,

%T 4847955288,36093104816,268714229264,2000587354768,14894452176096,

%U 110889806477664,825579209354848,6146471657514944,45760738536130624

%N Number of (1+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

%H R. H. Hardin, <a href="/A231420/b231420.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) + 4*a(n-2) - 58*a(n-3) - 24*a(n-4) + 40*a(n-5) - 16*a(n-6).

%F Empirical g.f.: x*(9 - x - 90*x^2 - 36*x^3 + 60*x^4 - 24*x^5) / (1 - 8*x - 4*x^2 + 58*x^3 + 24*x^4 - 40*x^5 + 16*x^6). - _Colin Barker_, Sep 28 2018

%e Some solutions for n=6:

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

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

%Y Row 1 of A231419.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013

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Last modified August 2 05:59 EDT 2024. Contains 374821 sequences. (Running on oeis4.)