A299316 - OEIS

%I #4 Feb 06 2018 13:45:54

%S 1,1,15,10,70,146,434,1206,3228,9186,24772,69398,189942,526396,

%T 1450524,4005122,11055658,30506770,84220672,232416524,641554400,

%U 1770641470,4887237832,13489036144,37230869642,102760304362,283626021494

%N Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299321.

%H R. H. Hardin, <a href="/A299316/b299316.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) -5*a(n-3) -10*a(n-4) +4*a(n-5) +a(n-6) +3*a(n-7) -3*a(n-8) +4*a(n-9) -2*a(n-10) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299321.

%K nonn

%O 1,3

%A _R. H. Hardin_, Feb 06 2018