A304145 - OEIS

%I #4 May 07 2018 08:52:51

%S 2,33,25,61,157,117,244,936,733,1513,5788,5148,9643,36537,36384,63504,

%T 232477,257097,425332,1489062,1805221,2880515,9586350,12586970,

%U 19638585,61988663,87180006,134415114,402438825,600295543,921874148,2622349354

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

%C Column 4 of A304149.

%H R. H. Hardin, <a href="/A304145/b304145.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-3) -26*a(n-4) +29*a(n-6) +55*a(n-7) -18*a(n-8) -111*a(n-9) -15*a(n-10) +60*a(n-11) +72*a(n-12) -14*a(n-13) -36*a(n-14) -13*a(n-15) +5*a(n-16) +6*a(n-17) for n>22

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304149.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 07 2018