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A197054 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical zero neighbors 8
1, 2, 2, 2, 2, 2, 3, 4, 4, 3, 4, 6, 10, 6, 4, 5, 10, 18, 18, 10, 5, 7, 16, 38, 42, 38, 16, 7, 9, 26, 78, 108, 108, 78, 26, 9, 12, 42, 156, 274, 358, 274, 156, 42, 12, 16, 68, 320, 692, 1132, 1132, 692, 320, 68, 16, 21, 110, 654, 1754, 3580, 4468, 3580, 1754, 654, 110, 21, 28 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Every 0 is next to 0 0's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 0's

Table starts

..1...2....2.....3......4.......5........7.........9.........12..........16

..2...2....4.....6.....10......16.......26........42.........68.........110

..2...4...10....18.....38......78......156.......320........654........1326

..3...6...18....42....108.....274......692......1754.......4442.......11248

..4..10...38...108....358....1132.....3580.....11382......36270......114992

..5..16...78...274...1132....4468....17742.....70616.....281202.....1117442

..7..26..156...692...3580...17742....88056....439338....2192602....10912392

..9..42..320..1754..11382...70616...439338...2745186...17155374...106972582

.12..68..654..4442..36270..281202..2192602..17155374..134355866..1049189170

.16.110.1326.11248.114992.1117442.10912392.106972582.1049189170.10264692132

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

EXAMPLE

Some solutions for n=6 k=4

..0..2..1..0....0..2..0..1....2..0..2..0....0..3..0..2....0..2..1..0

..2..0..1..2....1..1..1..1....0..2..1..1....2..0..4..0....3..0..1..2

..1..1..2..0....1..0..2..0....2..1..0..2....1..2..0..2....0..3..1..0

..0..3..0..3....1..1..1..1....0..2..2..0....0..1..1..1....2..0..1..2

..3..0..4..0....0..3..0..2....3..0..1..2....1..1..1..0....1..1..2..0

..0..3..0..2....2..0..3..0....0..2..1..0....1..0..1..1....0..2..0..2

CROSSREFS

Column 1 is A000931(n+6)

Column 2 is A006355(n+1)

Column 3 is A197049.

Sequence in context: A018119 A177001 A143594 * A120502 A099480 A025783

Adjacent sequences:  A197051 A197052 A197053 * A197055 A197056 A197057

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 09 2011

STATUS

approved

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Last modified March 25 09:38 EDT 2017. Contains 284060 sequences.