A304600 - OEIS

%I #4 May 15 2018 13:28:51

%S 8,9,23,73,179,515,1450,4024,11122,31092,86816,242134,674738,1881798,

%T 5248442,14637102,40816980,113827162,317437278,885253890,2468736666,

%U 6884654742,19199525352,53542506842,149316129526,416403812262

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304604.

%H R. H. Hardin, <a href="/A304600/b304600.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) -5*a(n-3) +4*a(n-4) -4*a(n-5) -29*a(n-6) +18*a(n-7) +16*a(n-8) -7*a(n-9) +30*a(n-10) -8*a(n-11) -24*a(n-12) +12*a(n-13) -20*a(n-15) +12*a(n-17) for n>22

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304604.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 15 2018