|
%I #8 Feb 05 2019 15:13:38
%S 14,31,189,1017,5909,33461,191289,1089941,6217661,35454545,202199549,
%T 1153097557,6575970385,37501690413,213866533133,1219647879417,
%U 6955465873669,39665957261253,226208890949593,1290034710761669
%N Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.
%H R. H. Hardin, <a href="/A276301/b276301.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) + 10*a(n-2) - 6*a(n-4) - 22*a(n-5) + 15*a(n-6) for n>8.
%F Empirical g.f.: x*(14 - 25*x - 75*x^2 - 49*x^3 + 35*x^4 + 149*x^5 - 39*x^6 - 30*x^7) / ((1 - x)*(1 - 3*x - 13*x^2 - 13*x^3 - 7*x^4 + 15*x^5)). - _Colin Barker_, Feb 05 2019
%e Some solutions for n=4:
%e ..0..1..0..2. .0..1..2..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
%e ..0..1..0..2. .2..1..2..1. .0..1..2..0. .2..1..2..1. .0..1..0..2
%e ..2..1..0..1. .0..1..2..1. .0..1..2..1. .0..1..0..1. .0..2..0..1
%e ..2..1..0..1. .2..0..2..0. .2..1..0..1. .0..1..2..1. .1..2..0..2
%Y Row 4 of A276299.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 28 2016
| 