A298215 - OEIS

%I #4 Jan 15 2018 08:04:59

%S 2,7,13,29,73,157,353,869,1993,4557,10993,25909,60313,144157,343233,

%T 809349,1929833,4610157,10953873,26130389,62487353,149069757,

%U 356015713,851720229,2035889673,4867238157,11647445553,27867454069,66671141593

%N Number of nX2 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 2 of A298221.

%H R. H. Hardin, <a href="/A298215/b298215.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +10*a(n-3) -24*a(n-4) +16*a(n-5) for n>6

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298221.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2018