A207682 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 72, 81, 13, 19, 169, 164, 166, 169, 18, 28, 361, 336, 436, 360, 324, 25, 41, 784, 702, 964, 1030, 660, 625, 34, 60, 1681, 1488, 2132, 2310, 2032, 1292, 1156, 46, 88, 3600, 3164, 4846, 5704, 4728, 4174, 2400, 2116, 62, 129

Offset

1,1

Comments

Table starts

..2....4....6....9....13....19.....28.....41.....60......88.....129......189

..4...16...36...81...169...361....784...1681...3600....7744...16641....35721

..6...36...72..164...336...702...1488...3164...6612...13916...29532....62032

..9...81..166..436...964..2132...4846..11301..25496...57407..131250...299913

.13..169..360.1030..2310..5704..14090..34245..81936..201951..490844..1183972

.18..324..660.2032..4728.11994..29982..77141.193184..485658.1213580..3090430

.25..625.1292.4174..9450.25076..65564.171382.433468.1150747.2968284..7722348

.34.1156.2400.8266.18940.52632.139730.379618.990368.2737864.7139792.19521802

Links

R. H. Hardin, Table of n, a(n) for n = 1..839

Example

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

Crossrefs

Column 1 is A171861(n+1)

Column 2 is A207025

Column 3 is A207509

Row 1 is A000930(n+3)

Row 2 is A207170

Sequence in context: A207752 A207514 A207879 * A207488 A207269 A207885

Adjacent sequences: A207679 A207680 A207681 * A207683 A207684 A207685

Keyword

nonn,tabl

Author

R. H. Hardin Feb 19 2012

Status

approved