%I #12 Apr 20 2013 08:17:09
%S 15,85,102,641,1070,870,5257,14182,17142,7566,44585,196078,463878,
%T 238182,68342,385465,2728486,13899222,10599630,3814022,609086,3375401,
%U 38016046,431954406,526154358,345652310,53494742,5514982,29817817,529805350
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order.
%C Table starts
%C .......15..........85...........641.............5257.............44585
%C ......102........1070.........14182...........196078...........2728486
%C ......870.......17142........463878.........13899222.........431954406
%C .....7566......238182......10599630........526154358.......26687737998
%C ....68342.....3814022.....345652310......37242588902.....4224315021758
%C ...609086....53494742....7934434238....1412613762182...261163772277422
%C ..5514982...850283062..257597022598...99795262195942.41314757480152390
%C .49362414.12012206406.5939045721006.3792559398258150
%H R. H. Hardin, <a href="/A206169/b206169.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for n=4 k=3
%e ..0..1..0..0....0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..1
%e ..1..1..1..0....0..1..0..0....0..1..0..1....0..0..0..0....0..1..0..0
%e ..2..3..2..0....0..1..2..1....2..2..0..2....1..0..1..0....2..1..2..2
%e ..1..2..1..2....3..0..1..0....3..2..2..1....1..3..3..2....2..2..2..3
%e ..0..0..1..0....1..2..1..2....3..0..3..1....1..1..3..3....1..3..1..0
%Y Column 1 is A205424.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 04 2012
|