A207589 - OEIS

%I #7 Aug 23 2022 14:44:31

%S 2,4,4,6,16,6,10,36,36,9,16,100,60,81,13,26,256,144,144,169,18,42,676,

%T 324,432,312,324,25,68,1764,756,1098,1014,612,625,34,110,4624,1728,

%U 3150,3094,2232,1250,1156,46,178,12100,3996,8244,9698,7272,5000,2516,2116,62

%N T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

%C Table starts

%C ..2....4....6....10....16.....26.....42......68......110......178.......288

%C ..4...16...36...100...256....676...1764....4624....12100....31684.....82944

%C ..6...36...60...144...324....756...1728....3996.....9180....21168.....48708

%C ..9...81..144...432..1098...3150...8244...23202....61560...171468....458640

%C .13..169..312..1014..3094...9698..30056...93782...291304...908102...2822456

%C .18..324..612..2232..7272..25776..85536..300096..1004364..3501756..11782620

%C .25..625.1250..5000.18150..70800.263550.1018700..3824100.14714500..55475900

%C .34.1156.2516.11220.46716.204476.876860.3832616.16578128.72435844.314466680

%H R. H. Hardin, <a href="/A207589/b207589.txt">Table of n, a(n) for n = 1..971</a>

%e Some solutions for n=4, k=3

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

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

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

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

%Y Column 1 is A171861(n+1).

%Y Column 2 is A207025.

%Y Row 1 is A006355(n+2).

%Y Row 2 is A206981.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 19 2012