A196729 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,4,0,3 for x=0,1,2,3,4

1, 2, 2, 3, 5, 3, 4, 11, 11, 4, 6, 34, 76, 34, 6, 9, 101, 408, 408, 101, 9, 13, 299, 2025, 3394, 2025, 299, 13, 19, 890, 10548, 30971, 30971, 10548, 890, 19, 28, 2643, 55431, 299031, 547874, 299031, 55431, 2643, 28, 41, 7855, 289038, 2810070, 9376754, 9376754

Offset

1,2

Comments

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

Table starts

..1.....2.......3..........4............6...............9................13

..2.....5......11.........34..........101.............299...............890

..3....11......76........408.........2025...........10548.............55431

..4....34.....408.......3394........30971..........299031...........2810070

..6...101....2025......30971.......547874.........9376754.........155884161

..9...299...10548.....299031......9376754.......280203939........8480784814

.13...890...55431....2810070....155884161......8480784814......466328648058

.19..2643..289038...26244524...2642927522....260413708520....25627044432018

.28..7855.1506376..246996575..44901935948...7925738767972..1401061856163452

.41.23340.7857827.2321651409.759934568782.240995847511411.76824706430678661

Links

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

Example

Some solutions for n=6 k=4
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..3..0....0..0..1..1....0..3..1..1
..1..1..0..0....3..0..0..3....3..0..1..1....0..1..0..0....0..0..3..0
..0..0..0..1....0..3..3..0....0..0..0..0....0..1..0..0....1..0..0..0
..0..0..0..1....1..0..0..3....0..3..0..3....0..3..0..3....1..0..3..0
..0..0..3..0....1..0..3..0....0..1..1..0....0..0..0..0....0..0..1..1

Crossrefs

Column 1 is A000930(n+1)

Column 2 is A196690

Column 3 is A196691

Column 4 is A196692

Sequence in context: A295097 A295551 A196696 * A197069 A197450 A240406

Adjacent sequences: A196726 A196727 A196728 * A196730 A196731 A196732

Keyword

nonn,tabl

Author

R. H. Hardin Oct 05 2011

Status

approved