A317729 - OEIS

%I #6 May 16 2023 15:47:04

%S 2,98,1250,19208,293378,4458098,67837952,1032124178,15703109762,

%T 238914663752,3634957526642,55303917942338,841419307238528,

%U 12801741179208962,194771591274765458,2963344770015913928

%N Number of n X 4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A317733.

%H R. H. Hardin, <a href="/A317729/b317729.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) +42*a(n-2) +107*a(n-3) -30*a(n-4) +12*a(n-5) -16*a(n-6).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317733.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 05 2018