%I #5 Mar 31 2012 12:37:05

%S 8,20,20,52,52,52,132,132,132,132,340,340,328,340,340,868,868,824,824,

%T 868,868,2228,2228,2072,2144,2072,2228,2228,5700,5700,5176,5424,5424,

%U 5176,5700,5700,14612,14612,13032,14072,14220,14072,13032,14612,14612

%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order

%C Table starts

%C ....8....20....52...132....340....868....2228....5700....14612....37412

%C ...20....52...132...340....868...2228....5700...14612....37412....95860

%C ...52...132...328...824...2072...5176...13032...32488....81816...203864

%C ..132...340...824..2144...5424..14072...35928...92736...237864...612368

%C ..340...868..2072..5424..14220..37308...98924..258612...690332..1801140

%C ..868..2228..5176.14072..37308.104404..283148..789060..2163684..6011124

%C .2228..5700.13032.35928..98924.283148..811604.2316508..6722572.19126684

%C .5700.14612.32488.92736.258612.789060.2316508.7103748.21194932.64762620

%H R. H. Hardin, <a href="/A205226/b205226.txt">Table of n, a(n) for n = 1..337</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 23 2012