cp's OEIS Frontend

A209013 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

%I A209013 #14 Jul 07 2018 19:29:59
%S A209013 12,130,1430,15724,172936,1901964,20918008,230058424,2530206824,
%T A209013 27827480224,306049553920,3365965156848,37019238613696,
%U A209013 407141477256160,4477784761704800,49247147465796160,541625304181537792
%N A209013 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.
%C A209013 Column 2 of A209019.
%H A209013 R. H. Hardin, <a href="/A209013/b209013.txt">Table of n, a(n) for n = 1..210</a>
%F A209013 Empirical: a(n) = 8*a(n-1) + 38*a(n-2) - 52*a(n-3) - 40*a(n-4) + 44*a(n-5) - 12*a(n-6).
%F A209013 Empirical g.f.: 2*x*(6 + 17*x - 33*x^2 - 16*x^3 + 22*x^4 - 2*x^5) / (1 - 8*x - 38*x^2 + 52*x^3 + 40*x^4 - 44*x^5 + 12*x^6). - _Colin Barker_, Jul 07 2018
%e A209013 Some solutions for n=4:
%e A209013   1 0   3 0   1 2   0 1   0 2   1 0   2 3   3 1   0 2   1 3
%e A209013   2 3   0 2   2 3   3 0   2 1   2 3   1 0   1 1   1 2   0 1
%e A209013   3 1   1 0   3 3   1 1   1 0   1 3   0 3   3 3   3 1   1 0
%e A209013   1 0   3 2   2 0   2 0   2 2   3 1   1 0   0 1   0 0   2 0
%Y A209013 Cf. A209019.
%K A209013 nonn
%O A209013 1,1
%A A209013 _R. H. Hardin_, Mar 04 2012