A316378 - OEIS

%I #4 Jun 30 2018 19:15:33

%S 1,23,83,464,2280,11423,57453,288496,1447883,7274348,36527122,

%T 183441729,921291768,4626743261,23236097303,116694404423,586051094416,

%U 2943215292116,14781150469720,74232557467951,372804116464754

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316383.

%H R. H. Hardin, <a href="/A316378/b316378.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +10*a(n-2) +12*a(n-3) -46*a(n-4) -52*a(n-5) +14*a(n-6) -57*a(n-7) -58*a(n-8) -38*a(n-9) +33*a(n-10) +61*a(n-11) -7*a(n-12) +5*a(n-13) -9*a(n-14) +2*a(n-15) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316383.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jun 30 2018