A305085 - OEIS

%I #4 May 25 2018 08:17:33

%S 2,33,34,91,352,372,1016,3474,4945,13288,37062,64155,165994,415987,

%T 812826,2026972,4818456,10116447,24515337,56876113,124413665,

%U 295467341,678580178,1518490899,3558083669,8143158484,18447074191,42855072254

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305089.

%H R. H. Hardin, <a href="/A305085/b305085.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +6*a(n-3) -31*a(n-4) +6*a(n-5) +10*a(n-6) +73*a(n-7) -15*a(n-8) -70*a(n-9) -42*a(n-10) -6*a(n-11) +63*a(n-12) +32*a(n-13) +12*a(n-14) -25*a(n-15) -20*a(n-16) -3*a(n-17) +4*a(n-18) +4*a(n-19) for n>24

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305089.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 25 2018