A316513 - OEIS

%I #4 Jul 05 2018 07:13:34

%S 4,21,28,75,174,414,1002,2398,5743,13785,33053,79248,190054,455751,

%T 1092871,2620730,6284531,15070301,36138673,86660727,207812777,

%U 498336020,1195012127,2865644552,6871828916,16478677644,39515945239,94759419700

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

%C Column 3 of A316518.

%H R. H. Hardin, <a href="/A316513/b316513.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316518.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 05 2018