A298496 - OEIS

A298496

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

%I #4 Jan 20 2018 08:09:07

%S 3,3,1,4,5,6,20,35,70,174,365,789,1818,3997,8829,19887,44199,98280,

%T 219831,489860,1091470,2436279,5432314,12111558,27017683,60251823,

%U 134360364,299668975,668310211,1490410101,3323947595,7412988676

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

%C Column 3 of A298501.

%H R. H. Hardin, <a href="/A298496/b298496.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -4*a(n-4) -10*a(n-5) -11*a(n-6) +5*a(n-7) +12*a(n-8) +6*a(n-9) -5*a(n-10) -a(n-11) +7*a(n-12) +3*a(n-13) -3*a(n-14) -3*a(n-15) for n>16

%e Some solutions for n=8

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

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

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

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

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

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

%Y Cf. A298501.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2018