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Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 28 2018 14:19:07

%S 4,32,228,1651,11965,86775,629440,4566023,33122989,240283124,

%T 1743081647,12644813016,91729105941,665429316237,4827215711786,

%U 35018011778092,254030734032018,1842812043966813,13368288852038965,96977414177346279

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A300215.

%H R. H. Hardin, <a href="/A300210/b300210.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -4*a(n-2) -8*a(n-3) -15*a(n-4) -4*a(n-5) -25*a(n-6) -44*a(n-7) -12*a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300215.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2018