A210134 - OEIS

%I #5 Mar 31 2012 12:37:31

%S 8,81,81,897,2609,897,10019,84381,84381,10019,111993,2731088,7873809,

%T 2731088,111993,1251951,88392872,735336694,735336694,88392872,1251951,

%U 13995437,2860882075,68668190865,198219480450,68668190865,2860882075

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

%C Table starts

%C .........8............81...............897..................10019

%C ........81..........2609.............84381................2731088

%C .......897.........84381...........7873809..............735336694

%C .....10019.......2731088.........735336694...........198219480450

%C ....111993......88392872.......68668190865.........53426898480029

%C ...1251951....2860882075.....6412512897051......14400523684710903

%C ..13995437...92593947153...598825892889354....3881469298371686670

%C .156453699.2996851648908.55920742053335527.1046198452246381246181

%H R. H. Hardin, <a href="/A210134/b210134.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

%e ..1..2..3..1....0..0..0..0....0..2..0..2....0..0..0..0....0..0..3..0

%e ..2..3..1..0....1..2..1..2....0..1..3..2....0..0..0..0....1..2..1..2

%e ..3..0..2..0....0..1..0..3....3..1..2..0....0..0..0..0....1..3..0..0

%e ..2..3..3..0....2..2..1..2....0..1..0..1....0..0..0..0....1..0..1..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 17 2012