cp's OEIS Frontend

A208867 Number of n X 3 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.

%I A208867 #9 Jul 07 2018 08:51:31
%S A208867 5,136,6520,324682,16205218,808928836,40380275500,2015711853262,
%T A208867 100620769519078,5022810805035976,250729829501722000,
%U A208867 12515989521112631602,624776054783641480618,31187715359825604175756
%N A208867 Number of n X 3 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.
%C A208867 Column 3 of A208872.
%H A208867 R. H. Hardin, <a href="/A208867/b208867.txt">Table of n, a(n) for n = 1..210</a>
%F A208867 Empirical: a(n) = 55*a(n-1) -261*a(n-2) +369*a(n-3) -162*a(n-4) for n>5.
%F A208867 Empirical g.f.: x*(5 - 139*x + 345*x^2 - 267*x^3 + 54*x^4) / ((1 - x)*(1 - 3*x)*(1 - 51*x + 54*x^2)). - _Colin Barker_, Jul 07 2018
%e A208867 Some solutions for n=4:
%e A208867 ..0..1..0....0..0..0....0..0..0....0..1..1....0..1..0....0..0..1....0..1..1
%e A208867 ..0..2..3....1..1..2....1..1..1....1..0..2....0..2..2....1..0..0....1..0..0
%e A208867 ..3..0..0....2..1..1....2..0..2....3..0..1....1..3..1....0..1..1....0..1..0
%e A208867 ..2..1..3....0..2..1....2..1..0....1..2..1....1..3..2....1..2..3....1..0..1
%Y A208867 Cf. A208872.
%K A208867 nonn
%O A208867 1,1
%A A208867 _R. H. Hardin_, Mar 02 2012