A186139 - OEIS

A186139

Number of (n+1) X 8 0..2 arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace.

%I #7 May 11 2023 14:33:02

%S 9066168,4173269994,2044563391476,1000411106914620,493359058239095898,

%T 243566994040674992586,120347170141816347874560,

%U 59477821878604876659005166,29397763055311784589920812344

%N Number of (n+1) X 8 0..2 arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace.

%C Column 7 of A186141.

%H R. H. Hardin, <a href="/A186139/b186139.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for 3 X 8

%e ..0..0..0..0..0..1..0..1....0..0..0..0..2..0..2..0....0..0..0..0..1..0..2..1

%e ..0..0..1..0..2..0..2..1....0..0..1..0..1..1..1..2....0..0..1..0..1..1..0..1

%e ..0..1..0..1..1..0..0..2....0..1..0..2..0..0..2..1....0..1..0..2..0..2..1..0

%Y Cf. A186141.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2011