A219451 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..2 nXk array

1, 2, 2, 4, 2, 4, 7, 4, 4, 7, 12, 7, 16, 7, 12, 21, 12, 43, 43, 12, 21, 37, 21, 122, 169, 122, 21, 37, 65, 37, 345, 665, 665, 345, 37, 65, 114, 65, 979, 2603, 3808, 2603, 979, 65, 114, 200, 114, 2791, 10421, 21219, 21219, 10421, 2791, 114, 200, 351, 200, 7936, 41777, 121107

Offset

1,2

Comments

Table starts

...1...2......4........7........12..........21............37.............65

...2...2......4........7........12..........21............37.............65

...4...4.....16.......43.......122.........345...........979...........2791

...7...7.....43......169.......665........2603.........10421..........41777

..12..12....122......665......3808.......21219........121107.........694655

..21..21....345.....2603.....21219......166748.......1344235.......10913024

..37..37....979....10421....121107.....1344235......15411145......178002713

..65..65...2791....41777....694655....10913024.....178002713.....2929991369

.114.114...7936...166911...3974138....88366783....2049830785....48064752835

.200.200..22540...665377..22659834...712584163...23489245559...783922598539

.351.351..64031..2653983.129205873..5745262476..269104272557.12780990572538

.616.616.181974.10593377.737415730.46374678582.3087159491955

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

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

Crossrefs

Column 1 is A005251(n+2)

Column 2 is A005251(n+2) for n>1

Column 3 is A219398

Sequence in context: A222043 A222153 A219403 * A097800 A183402 A217839

Adjacent sequences: A219448 A219449 A219450 * A219452 A219453 A219454

Keyword

nonn,tabl

Author

R. H. Hardin Nov 20 2012

Status

approved