A297902 - OEIS

A297902

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

%I #4 Jan 08 2018 07:02:52

%S 3,3,1,4,5,5,20,29,63,156,311,691,1568,3387,7489,16676,36645,80981,

%T 179356,395789,874655,1934164,4272847,9442819,20872192,46122963,

%U 101931201,225279044,497854821,1100259109,2431610756,5373837917

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

%C Column 3 of A297907.

%H R. H. Hardin, <a href="/A297902/b297902.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=7

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

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

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

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

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

%Y Cf. A297907.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 08 2018