A281134 - OEIS

%I #4 Jan 15 2017 09:28:04

%S 1,24,297,1046,3460,10790,32692,96454,279958,801574,2269012,6364810,

%T 17720024,49016062,134841796,369185826,1006589456,2734396414,

%U 7403739804,19988032370,53820207056,144572702206,387513485500,1036641811138

%N Number of nX3 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A281139.

%H R. H. Hardin, <a href="/A281134/b281134.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +8*a(n-3) -18*a(n-4) +4*a(n-5) -12*a(n-6) -4*a(n-7) +7*a(n-8) -16*a(n-9) +20*a(n-10) -4*a(n-11) -4*a(n-12) +8*a(n-13) -4*a(n-14) for n>19

%e Some solutions for n=4

%e ..0..0..1. .0..0..1. .0..1..0. .0..1..1. .0..1..2. .0..1..2. .0..1..0

%e ..2..1..2. .1..2..2. .0..2..1. .2..0..2. .2..1..2. .2..1..2. .1..0..2

%e ..2..0..0. .1..0..1. .1..2..0. .1..1..0. .2..0..0. .0..1..0. .2..0..2

%e ..2..1..2. .0..2..0. .0..1..2. .0..2..2. .0..1..2. .0..2..2. .2..1..1

%Y Cf. A281139.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 15 2017