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Number of 3Xn 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Dec 16 2016 11:47:31

%S 0,24,734,19986,498424,11256083,239891281,4888317479,96326861690,

%T 1848624670794,34730111197052,641145448826585,11663825768257154,

%U 209565710121717098,3725231374131173587,65606987929682120630

%N Number of 3Xn 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Row 3 of A279657.

%H R. H. Hardin, <a href="/A279659/b279659.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A279659/a279659.txt">Empirical recurrence of order 51</a>

%F Empirical recurrence of order 51 (see link above)

%e Some solutions for n=4

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

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

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

%Y Cf. A279657.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 16 2016