A305036 - OEIS

%I #4 May 24 2018 08:41:18

%S 8,5,7,19,26,61,143,277,568,1244,2600,5369,11341,23905,49970,104796,

%T 220286,462165,969275,2034517,4270128,8959604,18801136,39456489,

%U 82798877,173748993,364613994,765145940,1605646822,3369435285,7070757515

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305040.

%H R. H. Hardin, <a href="/A305036/b305036.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-3) +a(n-4) -4*a(n-6) -4*a(n-7) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305040.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 24 2018