%I #6 Aug 12 2016 06:54:17
%S 2,6,14,34,92,258,722,2022,5706,16232,46442,133418,384550,1111614,
%T 3221582,9357450,27233148,79394646,231822854,677835636,1984435484,
%U 5816254262,17064740572,50114985298,147303657830,433319078074
%N Number of 2Xn arrays containing n copies of 0..2-1 avoiding the pattern down-up in every row and column.
%C Row 2 of A269505.
%H R. H. Hardin, <a href="/A269506/b269506.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..0..0..1. .0..0..1..1. .0..1..1..0. .0..0..1..1. .0..0..1..0
%e ..0..1..1..0. .1..1..0..0. .1..1..0..0. .1..0..0..1. .0..1..1..1
%Y Cf. A269505.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 28 2016