cp's OEIS Frontend

A275179 Number of n X 4 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

%I A275179 #8 Feb 01 2019 05:32:43
%S A275179 14,64,89,141,353,914,2386,6228,16249,42451,111108,291065,762378,
%T A275179 1995896,5223852,13673069,35794346,93714905,245360591,642367172,
%U A275179 1681704625,4402670689,11526266952,30176270194,79002891883,206832552922
%N A275179 Number of n X 4 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.
%H A275179 R. H. Hardin, <a href="/A275179/b275179.txt">Table of n, a(n) for n = 1..210</a>
%F A275179 Empirical: a(n) = 8*a(n-1) - 28*a(n-2) + 57*a(n-3) - 70*a(n-4) + 47*a(n-5) - 12*a(n-6) - a(n-7) - 2*a(n-8) + a(n-9) for n>12.
%F A275179 Empirical g.f.: x*(14 - 48*x - 31*x^2 + 423*x^3 - 951*x^4 + 787*x^5 + 311*x^6 - 920*x^7 + 378*x^8 + 125*x^9 + 29*x^10 - 32*x^11) / ((1 - 3*x + x^2)*(1 - 5*x + 12*x^2 - 16*x^3 + 10*x^4 - x^5 - x^6 - x^7)). - _Colin Barker_, Feb 01 2019
%e A275179 Some solutions for n=4:
%e A275179 ..0..1..1..1. .0..1..1..2. .0..0..0..1. .0..0..1..2. .0..1..1..2
%e A275179 ..2..0..0..0. .2..2..0..1. .1..2..2..0. .2..2..0..1. .2..2..0..0
%e A275179 ..1..2..2..2. .0..1..2..2. .0..1..1..2. .1..1..2..2. .0..1..2..2
%e A275179 ..0..1..1..1. .2..0..1..1. .2..0..0..1. .2..0..1..1. .2..0..1..1
%Y A275179 Column 4 of A275183.
%K A275179 nonn
%O A275179 1,1
%A A275179 _R. H. Hardin_, Jul 19 2016