%I #6 May 25 2024 22:01:22
%S 1,3,9,10,27,109,168,349,1229,2490,4767,14401,33504,66377,175249,
%T 433386,909235,2208549,5522840,12201285,28458341,70294586,161026423,
%U 370622297,898784848,2102285073,4841334921,11557476010,27287134763,63194732573
%N Number of n X 2 0..1 arrays with every element unequal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 2 of A305097.
%H R. H. Hardin, <a href="/A305091/b305091.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +8*a(n-3) -16*a(n-5) for n>6.
%e Some solutions for n=5
%e ..0..1. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1
%e ..1..0. .1..1. .1..0. .0..1. .1..0. .0..1. .0..1. .0..1. .0..1. .1..0
%e ..0..0. .1..1. .1..1. .1..1. .0..0. .1..1. .0..0. .0..0. .0..0. .0..0
%e ..1..0. .1..0. .1..0. .0..1. .0..0. .1..0. .0..1. .1..0. .0..1. .0..1
%e ..0..1. .0..1. .0..1. .0..1. .1..1. .0..1. .0..1. .0..1. .1..0. .0..1
%Y Cf. A305097.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 25 2018