A183792 - OEIS

%I #5 Mar 31 2012 12:35:54

%S 31,216,216,1500,3552,1500,10428,57966,57966,10428,72468,948164,

%T 2214457,948164,72468,503676,15497634,84888699,84888699,15497634,

%U 503676,3500532,253372446,3250564943,7635071835,3250564943,253372446,3500532,24329052

%N T(n,k)=Half the number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having sum 4

%C Table starts

%C .........31............216...............1500..................10428

%C ........216...........3552..............57966.................948164

%C .......1500..........57966............2214457...............84888699

%C ......10428.........948164...........84888699.............7635071835

%C ......72468.......15497634.........3250564943...........685721542209

%C .....503676......253372446.......124516635830.........61615880574766

%C ....3500532.....4142036148......4769141272937.......5535599672278525

%C ...24329052....67714639662....182672398106924.....497350558783784298

%C ..169088148..1106996131802...6996783566736966...44683911579501412754

%C .1175174460.18097205612196.267994941652776449.4014608234358287116731

%H R. H. Hardin, <a href="/A183792/b183792.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for 4X3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 07 2011