A299549 - OEIS

%I #4 Feb 12 2018 20:22:01

%S 0,3,9,31,166,752,3739,18300,90313,446451,2207877,10926364,54077370,

%T 267676863,1325022222,6559112697,32469220849,160731379343,

%U 795665619120,3938773429086,19498071214793,96521135230826,477807811364333

%N Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299554.

%H R. H. Hardin, <a href="/A299549/b299549.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +6*a(n-2) -28*a(n-3) -27*a(n-4) +62*a(n-5) +16*a(n-6) -89*a(n-7) +49*a(n-8) +72*a(n-9) -56*a(n-10) +5*a(n-11) +10*a(n-12) -8*a(n-13) for n>15

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299554.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 12 2018