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Number of n X 5 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.
1

%I #7 Nov 12 2022 19:44:21

%S 0,216,35052,3062214,281740616,26096227960,2412390974650,

%T 223089594072370,20629925261099416,1907729918140906612,

%U 176415244360852716250,16313809796506210420328,1508601933663945808015846

%N Number of n X 5 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

%C Column 5 of A230469.

%H R. H. Hardin, <a href="/A230466/b230466.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230466/a230466.txt">Empirical recurrence of order 68</a>

%F Empirical recurrence of order 68 (see link above).

%e Some solutions for n=3

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

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

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

%Y Cf. A230469.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2013