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A305226 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,49,54,116,253,541,1248,2831,6471,14788,33887,77571,177642,406875,

%T 931841,2134242,4888087,11195485,25641380,58727691,134506571,

%U 308066476,705578355,1616017727,3701237834,8477110559,19415506245,44468203154

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305230.

%H R. H. Hardin, <a href="/A305226/b305226.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +a(n-3) -a(n-4) -3*a(n-5) -2*a(n-6) +2*a(n-7) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305230.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 27 2018

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Last modified September 25 07:06 EDT 2022. Contains 356959 sequences. (Running on oeis4.)