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Number of nX4 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Aug 09 2018 09:53:36

%S 0,2,6,26,88,301,1089,4340,16696,64514,247718,951489,3664952,14093271,

%T 54262682,208711489,803269846,3090437571,11892612119,45759331536,

%U 176080105486,677526781675,2607049617411,10031588149594,38600301323927

%N Number of nX4 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A317871.

%H R. H. Hardin, <a href="/A317867/b317867.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A317867/a317867.txt">Empirical recurrence of order 83</a>

%F Empirical recurrence of order 83 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317871.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 09 2018