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Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 07 2018 07:31:32

%S 5,3,7,20,32,68,191,504,1353,4033,11685,33861,98728,286160,829255,

%T 2405240,6971387,20210591,58596872,169882747,492538787,1428005265,

%U 4140151175,12003425671,34801083823,100897399130,292528300568

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300506.

%H R. H. Hardin, <a href="/A300502/b300502.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A300502/a300502.txt">Empirical recurrence of order 93</a>

%F Empirical recurrence of order 93 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2018