A206650 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1625, 726, 30, 82, 5400, 30145, 30145, 5400, 82, 224, 40344, 545520, 1414023, 545520, 40344, 224, 612, 301056, 9937823, 64166392, 64166392, 9937823, 301056, 612, 1672, 2247264, 180716227, 2937839117

Offset

1,2

Comments

Table starts

...1.......2..........4............11................30...................82

...2......14.........96...........726..............5400................40344

...4......96.......1625.........30145............545520..............9937823

..11.....726......30145.......1414023..........64166392...........2937839117

..30....5400.....545520......64166392........7241587334.........826407481102

..82...40344....9937823....2937839117......826407481102......235596375117548

.224..301056..180716227..134185561617....94026798615720....66923081500826797

.612.2247264.3287842038.6132878568838.10706810410657410.19028556027562892700

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for n=4 k=3
..0..1..2....0..0..1....0..0..1....0..0..1....0..1..0....0..0..1....0..0..1
..1..2..1....0..0..1....2..0..2....2..1..2....2..1..2....1..2..1....2..0..0
..0..2..1....1..2..0....2..1..2....2..2..1....2..2..1....0..2..2....2..1..0
..1..1..2....1..2..1....0..0..1....0..1..1....0..1..1....0..0..2....0..2..2

Crossrefs

Column 1 is A021006(n-3)

Column 2 is A204699

Sequence in context: A267957 A204978 A204705 * A268049 A267911 A120654

Adjacent sequences: A206647 A206648 A206649 * A206651 A206652 A206653

Keyword

nonn,tabl

Author

R. H. Hardin Feb 11 2012

Status

approved