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A303723 Number of n X 4 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,49,46,84,133,221,406,743,1327,2396,4385,8003,14556,26527,48421,

%T 88330,161061,293777,535950,977643,1783259,3252908,5933861,10824167,

%U 19744652,36017043,65700297,119846482,218616585,398787421,727444438,1326960543

%N Number of n X 4 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero.

%C Column 4 of A303727.

%H R. H. Hardin, <a href="/A303723/b303723.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) -a(n-5) -2*a(n-6) for n>8.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303727.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 29 2018

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Last modified October 2 22:55 EDT 2022. Contains 357230 sequences. (Running on oeis4.)