A209848 - OEIS

%I #5 Mar 31 2012 12:37:30

%S 8,41,41,227,451,227,1331,5083,5083,1331,8123,59563,115435,59563,8123,

%T 50987,715307,2713195,2713195,715307,50987,326123,8743851,64857323,

%U 128454587,64857323,8743851,326123,2111531,108170155,1569132907

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

%C Table starts

%C .......8.........41..........227............1331...............8123

%C ......41........451.........5083...........59563.............715307

%C .....227.......5083.......115435.........2713195...........64857323

%C ....1331......59563......2713195.......128454587.........6168792219

%C ....8123.....715307.....64857323......6168792219.......595515461627

%C ...50987....8743851...1569132907....299013108267.....57996585929227

%C ..326123..108170155..38265187051..14575079152523...5674369527018763

%C .2111531.1348830635.938086148459.713014417713003.556706129632258475

%H R. H. Hardin, <a href="/A209848/b209848.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..1....0..0..1..0....0..0..0..0....0..0..1..0

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 14 2012