A208118 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 90, 81, 12, 25, 225, 225, 225, 144, 16, 40, 625, 825, 625, 420, 256, 20, 64, 1600, 3025, 3025, 1225, 784, 400, 25, 104, 4096, 9240, 14641, 7315, 2401, 1260, 625, 30, 169, 10816, 28224, 53361, 43681, 17689, 3969, 2025, 900

Offset

1,1

Comments

Table starts

..2...4....6....9....15.....25......40.......64.......104........169........273

..4..16...36...81...225....625....1600.....4096.....10816......28561......74529

..6..36...90..225...825...3025....9240....28224.....93912.....312481.....997815

..9..81..225..625..3025..14641...53361...194481....815409....3418801...13359025

.12.144..420.1225..7315..43681..175560...705600...3503640...17397241...76934095

.16.256..784.2401.17689.130321..577600..2560000..15054400...88529281..443060401

.20.400.1260.3969.34713.303601.1432600..6760000..45648200..308248249.1680152229

.25.625.2025.6561.68121.707281.3553225.17850625.138415225.1073283121.6371392041

Links

R. H. Hardin, Table of n, a(n) for n = 1..1211

Example

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

Crossrefs

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Column 3 is A207363

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Row 3 is A207600

Sequence in context: A207693 A208108 A207729 * A207908 A208039 A207426

Adjacent sequences: A208115 A208116 A208117 * A208119 A208120 A208121

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2012

Status

approved