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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 25 16:13 EDT 2020. Contains 337344 sequences. (Running on oeis4.)