A299361 - OEIS

%I #4 Feb 08 2018 13:58:50

%S 1,13,23,125,420,1943,9012,42321,205597,995518,4853006,23686103,

%T 115662456,565154846,2761642814,13496474311,65961394749,322378456355,

%U 1575606171809,7700708480150,37636981234967,183949803071588

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299366.

%H R. H. Hardin, <a href="/A299361/b299361.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +2*a(n-2) -38*a(n-3) -24*a(n-4) +163*a(n-5) +33*a(n-6) -337*a(n-7) +66*a(n-8) +312*a(n-9) -116*a(n-10) -92*a(n-11) +6*a(n-12) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299366.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 08 2018