A207729 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 78, 81, 14, 25, 225, 169, 189, 196, 21, 40, 625, 611, 441, 490, 441, 31, 64, 1600, 2209, 2163, 1225, 1113, 961, 46, 104, 4096, 6016, 10609, 8575, 2809, 2449, 2116, 68, 169, 10816, 16384, 33063, 60025, 27931, 6241, 5474, 4624

Offset: 1

Author

R. H. Hardin Feb 19 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

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

..6...36...78...169....611....2209.....6016....16384......51840......164025

..9...81..189...441...2163...10609....33063...103041.....418263.....1697809

.14..196..490..1225...8575...60025...211680...746496....4078944....22287841

.21..441.1113..2809..27931..277729..1029231..3814209...27996255...205492225

.31..961.2449..6241..88243.1247689..4799749.18464209..184732327..1848226081

.46.2116.5474.14161.288813.5890329.23473944.93547584.1307760792.18282014521

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..649

Crossrefs

Column 1 is A038718(n+2)

Column 2 is A207069

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)