A281690 - OEIS

A281690

Number of nX3 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%I #5 Jan 27 2017 12:36:34

%S 0,6,847,19326,293814,3714629,42265965,449985840,4571830360,

%T 44873281735,428836383879,4011945910730,36886705974618,

%U 334269681986457,2992281836910513,26505969364372244,232662102182106796

%N Number of nX3 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A281693.

%H R. H. Hardin, <a href="/A281690/b281690.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -117*a(n-2) -155*a(n-3) +2070*a(n-4) +2406*a(n-5) -15836*a(n-6) -33948*a(n-7) +35640*a(n-8) +184600*a(n-9) +158208*a(n-10) -213408*a(n-11) -613504*a(n-12) -616320*a(n-13) -307200*a(n-14) -64000*a(n-15) for n>20

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281693.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 27 2017