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A205475 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.

%I A205475 #10 Jul 22 2025 18:55:20
%S A205475 14,48,48,175,263,175,677,1548,1548,677,2709,9654,14639,9654,2709,
%T A205475 11143,61978,147129,147129,61978,11143,46709,405702,1504556,2368164,
%U A205475 1504556,405702,46709,198483,2686876,15614579,38649376,38649376,15614579,2686876
%N A205475 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.
%C A205475 Table starts
%C A205475 .....14.......48........175..........677...........2709............11143
%C A205475 .....48......263.......1548.........9654..........61978...........405702
%C A205475 ....175.....1548......14639.......147129........1504556.........15614579
%C A205475 ....677.....9654.....147129......2368164.......38649376........637115198
%C A205475 ...2709....61978....1504556.....38649376.....1002405121......26272023365
%C A205475 ..11143...405702...15614579....637115198....26272023365....1094476686239
%C A205475 ..46709..2686876..162976758..10546235416...690109737187...45724154665434
%C A205475 .198483.17926060.1709130780.175062268404.18179839278978.1914758450334723
%H A205475 R. H. Hardin, <a href="/A205475/b205475.txt">Table of n, a(n) for n = 1..180</a>
%e A205475 Some solutions for n=4 k=3
%e A205475 ..0..1..0..2....0..0..1..2....0..0..1..1....0..1..0..2....0..1..0..2
%e A205475 ..1..0..2..0....1..2..1..0....1..1..1..0....1..2..1..0....2..0..1..0
%e A205475 ..2..1..0..2....0..0..1..2....1..2..1..1....2..1..2..1....1..2..0..2
%e A205475 ..1..2..1..0....1..2..1..0....1..1..1..2....0..2..0..2....2..0..1..0
%e A205475 ..2..1..0..1....0..0..1..2....2..2..2..2....2..0..1..0....0..1..0..2
%K A205475 nonn,tabl
%O A205475 1,1
%A A205475 _R. H. Hardin_ Jan 27 2012