A259250 - OEIS

%I #4 Jun 22 2015 13:17:23

%S 9,21,21,48,65,48,111,192,192,111,255,581,720,581,255,588,1733,2816,

%T 2816,1733,588,1353,5216,10720,14425,10720,5216,1353,3117,15613,41552,

%U 71313,71313,41552,15613,3117,7176,46897,159168,361728,451481,361728,159168

%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111

%C Table starts

%C .....9.....21......48.......111........255..........588..........1353

%C ....21.....65.....192.......581.......1733.........5216.........15613

%C ....48....192.....720......2816......10720........41552........159168

%C ...111....581....2816.....14425......71313.......361728.......1803859

%C ...255...1733...10720.....71313.....451481......2964676......18970267

%C ...588...5216...41552....361728....2964676.....25462352.....211569948

%C ..1353..15613..159168...1803859...18970267....211569948....2259371001

%C ..3117..46897..614560...9106657..123694345...1802996568...24946035357

%C ..7176.140568.2360464..45601304..795726064..15090948960..268635598788

%C .16527.421901.9098240.229700941.5169185873.128059095616.2948447364239

%H R. H. Hardin, <a href="/A259250/b259250.txt">Table of n, a(n) for n = 1..449</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +3*a(n-2)

%F k=2: a(n) = 3*a(n-1) +4*a(n-2) -11*a(n-3) -3*a(n-4)

%F k=3: a(n) = 2*a(n-1) +12*a(n-2) -11*a(n-3) -30*a(n-4)

%F k=4: [order 11]

%F k=5: [order 17]

%F k=6: [order 31]

%F k=7: [order 54]

%e Some solutions for n=4 k=4

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jun 22 2015