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Number of 4Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 28 2018 16:10:55

%S 8,1,7,5,8,40,96,316,1078,3831,13331,46127,161362,564617,1975369,

%T 6914911,24216868,84826850,297130258,1040826424,3646117344,

%U 12772898193,44745724111,156753135377,549139791596,1923758528089,6739359943131

%N Number of 4Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A301906.

%H R. H. Hardin, <a href="/A301908/b301908.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

%Y Cf. A301906.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 28 2018