A298662 - OEIS

%I #4 Jan 24 2018 10:25:24

%S 1,0,3,1,5,8,7,25,25,58,95,155,299,494,905,1623,2867,5260,9421,17149,

%T 31225,56740,103795,189417,346621,634790,1162643,2132211,3910471,

%U 7175862,13172677,24185043,44417767,81586900,149883961,275388205,506024365

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

%C Column 3 of A298667.

%H R. H. Hardin, <a href="/A298662/b298662.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +a(n-3) -4*a(n-4) -6*a(n-5) -3*a(n-6) +5*a(n-7) +7*a(n-8) -a(n-9) +2*a(n-11) -2*a(n-12)

%e Some solutions for n=8

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

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

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

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

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

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

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

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

%Y Cf. A298667.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 24 2018