A316752 - OEIS

%I #4 Jul 12 2018 11:42:59

%S 1,9,15,17,79,185,315,970,2366,4927,12747,31483,71152,174182,426352,

%T 999419,2406348,5836950,13890672,33315051,80359905,192347104,

%U 461162125,1109224787,2660354703,6380696205,15327646223,36784405441,88255373344

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316757.

%H R. H. Hardin, <a href="/A316752/b316752.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +12*a(n-3) +5*a(n-4) -23*a(n-5) -50*a(n-6) -25*a(n-7) +40*a(n-8) +70*a(n-9) +32*a(n-10) -25*a(n-11) -25*a(n-12) -5*a(n-13) +4*a(n-14) -a(n-15) -2*a(n-16) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316757.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 12 2018