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A199641 Number of n X 2 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. 1

%I #8 May 16 2018 06:43:23

%S 1,3,13,60,288,1384,6628,31772,152304,730036,3499340,16773680,

%T 80402532,385399644,1847365808,8855120468,42445929772,203459338800,

%U 975257291396,4674775757500,22407962058928,107409807372276,514855687878924

%N Number of n X 2 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.

%C Column 2 of A199647.

%H R. H. Hardin, <a href="/A199641/b199641.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 3*a(n-1) +7*a(n-2) +8*a(n-3) -8*a(n-5) for n>7.

%F Empirical g.f.: x*(1 - 3*x^2 - 8*x^3 - 7*x^4 + 4*x^5 + 4*x^6) / (1 - 3*x - 7*x^2 - 8*x^3 + 8*x^5). - _Colin Barker_, May 16 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A199647.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 08 2011

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)