%I #4 May 20 2018 10:37:38

%S 1,23,62,330,1249,5562,23101,99064,418753,1782180,7560125,32121500,

%T 136371438,579184407,2459401732,10444343450,44352084495,188345794820,

%U 799822302052,3396512040540,14423538367155,61250684689212

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

%C Column 3 of A304901.

%H R. H. Hardin, <a href="/A304896/b304896.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +12*a(n-2) +11*a(n-3) -12*a(n-4) -15*a(n-5) +14*a(n-6) +14*a(n-7) +26*a(n-8) +5*a(n-9) +a(n-10) -a(n-11) -17*a(n-12) +a(n-13) -5*a(n-14) +2*a(n-15) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304901.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 20 2018