cp's OEIS Frontend

A214099 Number of 0..2 colorings on an n X 7 array circular in the 7 direction with new values 0..2 introduced in row major order.

%I A214099 #8 Jul 22 2018 06:42:22
%S A214099 21,322,5068,79968,1262128,19920544,314412672,4962482560,78324558592,
%T A214099 1236223285248,19511734746112,307960380098560,4860643963478016,
%U A214099 76717205414993920,1210853880866258944,19111320764068528128
%N A214099 Number of 0..2 colorings on an n X 7 array circular in the 7 direction with new values 0..2 introduced in row major order.
%C A214099 Column 6 of A214101.
%H A214099 R. H. Hardin, <a href="/A214099/b214099.txt">Table of n, a(n) for n = 1..210</a>
%F A214099 Empirical: a(n) = 18*a(n-1) - 36*a(n-2) + 16*a(n-3).
%F A214099 Empirical g.f.: 7*x*(3 - 2*x)*(1 - 2*x) / (1 - 18*x + 36*x^2 - 16*x^3). - _Colin Barker_, Jul 22 2018
%e A214099 Some solutions for n=4:
%e A214099 ..0..1..2..0..2..0..2....0..1..2..1..2..0..1....0..1..2..1..2..1..2
%e A214099 ..2..0..1..2..0..2..1....2..0..1..0..1..2..0....2..0..1..2..0..2..1
%e A214099 ..0..2..0..1..2..0..2....0..2..0..1..0..1..2....1..2..0..1..2..0..2
%e A214099 ..1..0..1..2..0..2..0....1..0..1..2..1..2..0....0..1..2..0..1..2..1
%Y A214099 Cf. A214101.
%K A214099 nonn
%O A214099 1,1
%A A214099 _R. H. Hardin_, Jul 04 2012