A303797 - OEIS

%I #4 Apr 30 2018 17:12:08

%S 16,64,70,231,562,1406,2829,7014,16337,38826,88805,212475,497950,

%T 1172384,2743484,6481122,15220337,35799435,84126471,198051064,

%U 465547526,1094919815,2574744067,6056506720,14241574199,33493922931,78769404889

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.

%C Column 5 of A303800.

%H R. H. Hardin, <a href="/A303797/b303797.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +a(n-3) +6*a(n-4) -11*a(n-5) -18*a(n-6) +7*a(n-7) -4*a(n-8) +2*a(n-9) +24*a(n-10) -4*a(n-11) +3*a(n-12) +5*a(n-13) -10*a(n-14) +a(n-15) -4*a(n-16) -a(n-17) +a(n-18) for n>24

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303800.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 30 2018