A299835 - OEIS

%I #4 Feb 20 2018 08:12:34

%S 2,64,1000,13850,198202,2853873,41026724,589665345,8475712818,

%T 121828795509,1751145754781,25170657077961,361798588649774,

%U 5200429172871619,74750052326542025,1074444076986377568

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A299839.

%H R. H. Hardin, <a href="/A299835/b299835.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +a(n-2) +68*a(n-3) -24*a(n-4) -702*a(n-5) -151*a(n-6) -1080*a(n-7) +2180*a(n-8) +6939*a(n-9) -2653*a(n-10) -6639*a(n-11) -3139*a(n-12) -3348*a(n-13) +8687*a(n-14) +5803*a(n-15) -5001*a(n-16) -1532*a(n-17) +484*a(n-18) -180*a(n-19) +281*a(n-20) -17*a(n-21) -6*a(n-22) for n>23

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299839.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2018