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