

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


12



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
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OFFSET

1,1


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


LINKS

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


EXAMPLE

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


CROSSREFS

Column 1 is A038718(n+2)
Column 2 is A207069
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)
Sequence in context: A209224 A207693 A208108 * A208118 A207908 A208039
Adjacent sequences: A207726 A207727 A207728 * A207730 A207731 A207732


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Feb 19 2012


STATUS

approved



