A219310 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array

1, 2, 2, 4, 6, 4, 7, 18, 18, 7, 12, 51, 90, 51, 12, 21, 142, 423, 423, 142, 21, 37, 405, 1958, 3334, 1958, 405, 37, 65, 1157, 9233, 25647, 25647, 9233, 1157, 65, 114, 3289, 43725, 200376, 326444, 200376, 43725, 3289, 114, 200, 9344, 206269, 1574278, 4215579

Offset

1,2

Comments

Table starts

...1......2.........4...........7............12.............21.............37

...2......6........18..........51...........142............405...........1157

...4.....18........90.........423..........1958...........9233..........43725

...7.....51.......423........3334.........25647.........200376........1574278

..12....142......1958.......25647........326444........4215579.......54797587

..21....405......9233......200376.......4215579.......89981627.....1935133104

..37...1157.....43725.....1574278......54797587.....1935133104....68906619754

..65...3289....206269....12334824.....710493819....41520773667..2448261182674

.114...9344....971794....96480571....9194088812...888957906061.86782430779997

.200..26580...4583164...755212375..119051026450.19043081452793

.351..75621..21622807..5914093280.1542298398563

.616.215076.101988408.46306103745

Links

R. H. Hardin, Table of n, a(n) for n = 1..126

Example

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

Crossrefs

Column 1 is A005251(n+2)

Column 2 is A219136

Sequence in context: A210603 A252820 A218765 * A220070 A220217 A220194

Adjacent sequences: A219307 A219308 A219309 * A219311 A219312 A219313

Keyword

nonn,tabl

Author

R. H. Hardin Nov 17 2012

Status

approved