A207589 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.

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 60, 81, 13, 26, 256, 144, 144, 169, 18, 42, 676, 324, 432, 312, 324, 25, 68, 1764, 756, 1098, 1014, 612, 625, 34, 110, 4624, 1728, 3150, 3094, 2232, 1250, 1156, 46, 178, 12100, 3996, 8244, 9698, 7272, 5000, 2516, 2116, 62

Offset

1,1

Comments

Table starts

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

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

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

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

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

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

.25..625.1250..5000.18150..70800.263550.1018700..3824100.14714500..55475900

.34.1156.2516.11220.46716.204476.876860.3832616.16578128.72435844.314466680

Links

R. H. Hardin, Table of n, a(n) for n = 1..971

Example

Some solutions for n=4, k=3
..0..1..1....1..0..0....1..0..1....1..1..1....1..0..1....0..1..0....1..0..0
..1..0..1....0..1..1....0..1..1....0..1..0....0..1..0....1..0..0....1..1..1
..0..1..0....1..1..0....1..0..0....1..0..0....1..0..1....0..1..0....0..1..1
..1..1..1....1..0..0....1..0..1....0..1..0....1..1..0....1..0..0....1..0..0

Crossrefs

Column 1 is A171861(n+1).

Column 2 is A207025.

Row 1 is A006355(n+2).

Row 2 is A206981.

Sequence in context: A207453 A208287 A208501 * A208069 A208840 A208688

Adjacent sequences: A207586 A207587 A207588 * A207590 A207591 A207592

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 19 2012

Status

approved