A206700 - OEIS

A206700

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column

3, 9, 9, 26, 81, 26, 75, 676, 676, 75, 216, 5625, 15712, 5625, 216, 622, 46656, 363465, 363465, 46656, 622, 1791, 386884, 8366690, 23335217, 8366690, 386884, 1791, 5157, 3207681, 192513201, 1488199144, 1488199144, 192513201, 3207681, 5157, 14849

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

....3........9...........26..............75.................216

....9.......81..........676............5625...............46656

...26......676........15712..........363465.............8366690

...75.....5625.......363465........23335217..........1488199144

..216....46656......8366690......1488199144........262482902920

..622...386884....192513201.....94853765621......46260684361347

.1791..3207681...4428597297...6043775871265....8149739471342829

.5157.26594649.101873060353.385074186960645.1435662206447144342

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for n=4 k=3

..2..0..1....2..0..1....0..0..2....2..0..1....2..1..0....2..2..2....2..1..0

..0..0..2....2..0..2....0..0..2....2..0..2....0..1..1....1..2..1....2..1..2

..1..1..2....1..0..2....0..0..0....2..0..2....1..0..0....0..2..2....2..1..1

..0..0..1....1..2..1....1..2..0....2..0..1....1..2..2....0..0..2....0..1..1

CROSSREFS

Column 1 is A076264

Sequence in context: A217999 A207550 A207317 * A162349 A223022 A072404

Adjacent sequences: A206697 A206698 A206699 * A206701 A206702 A206703

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 11 2012

STATUS

approved