cp's OEIS Frontend

A275144 Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.

%I A275144 #7 Feb 01 2019 05:03:46
%S A275144 14,216,400,1088,2320,6464,17872,49792,139664,392448,1102416,3095808,
%T A275144 8693584,24414784,68567696,192568832,540817040,1518847552,4265581328,
%U A275144 11979603776,33643929040,94486756224,265359817104,745245528576
%N A275144 Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.
%H A275144 R. H. Hardin, <a href="/A275144/b275144.txt">Table of n, a(n) for n = 1..210</a>
%F A275144 Empirical: a(n) = 5*a(n-1) - 9*a(n-2) + 10*a(n-3) - 6*a(n-4) + a(n-5) for n>9.
%F A275144 Empirical g.f.: 2*x*(7 + 73*x - 277*x^2 + 446*x^3 - 798*x^4 + 969*x^5 - 1132*x^6 + 768*x^7 - 128*x^8) / ((1 - x)*(1 - 4*x + 5*x^2 - 5*x^3 + x^4)). - _Colin Barker_, Feb 01 2019
%e A275144 Some solutions for n=5:
%e A275144 ..0..1..0..1..2. .0..1..0..2..1. .0..1..0..1..2. .0..1..0..2..1
%e A275144 ..0..2..1..0..1. .1..2..1..0..1. .1..2..1..0..1. .0..2..1..2..1
%e A275144 ..1..0..1..0..2. .1..0..2..0..2. .2..0..2..0..2. .0..2..1..0..2
%e A275144 ..2..0..2..1..2. .1..2..0..1..0. .0..1..0..1..0. .2..0..2..0..2
%Y A275144 Row 4 of A275142.
%K A275144 nonn
%O A275144 1,1
%A A275144 _R. H. Hardin_, Jul 17 2016