|
%I #11 Jun 07 2018 02:51:06
%S 14141,735,778,982,996,1496,2860,5500,13636,35860,94404,256196,698212,
%T 1901476,5192548,14183908,38740068,105836132,289145956,789940324,
%U 2158150756,5896171108,16108597860,44009496164,120236167780,328491237988
%N Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order.
%C Column 6 of A204284.
%H R. H. Hardin, <a href="/A204282/b204282.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -6*a(n-4) +4*a(n-6) for n>8.
%F Empirical g.f.: x*(14141 - 41688*x - 1427*x^2 - 1352*x^3 + 82896*x^4 + 2918*x^5 - 53524*x^6 - 128*x^7) / ((1 - x)*(1 - 2*x - 2*x^2)*(1 - 2*x^3)). - _Colin Barker_, Jun 06 2018
%e Some solutions for n=4:
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%e 0 0 1 1 2 1 0 1 0 1 0 2 1 2 2 1 0 1 1 2 1 2 0 0
%Y Cf. A204284.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 13 2012
| 