A296947 - OEIS

%I #4 Dec 22 2017 11:06:17

%S 3,16,45,135,544,1765,5763,20811,70207,236330,822902,2806042,9547539,

%T 32855983,112351535,383730987,1315580367,4501742568,15396061261,

%U 52720880494,180431027632,617365998304,2113260768118,7232567686580

%N Number of nX3 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s.

%C Column 3 of A296952.

%H R. H. Hardin, <a href="/A296947/b296947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) +16*a(n-3) -46*a(n-4) -20*a(n-5) -19*a(n-6) +148*a(n-7) +64*a(n-8) -58*a(n-9) -180*a(n-10) +9*a(n-11) +70*a(n-12) +35*a(n-13) -29*a(n-14) -13*a(n-15) +7*a(n-16) +6*a(n-17) +a(n-18) -2*a(n-19)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A296952.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 22 2017