A218897 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nXk array

2, 2, 4, 4, 6, 8, 6, 18, 16, 16, 10, 34, 72, 38, 32, 16, 86, 212, 286, 98, 64, 26, 180, 786, 1096, 1162, 244, 128, 42, 426, 2594, 6280, 6422, 4700, 614, 256, 68, 930, 9110, 28598, 54726, 35812, 19046, 1542, 512, 110, 2140, 31062, 149238, 373612, 463746, 202662

Offset

1,1

Comments

Table starts

....2.....2........4..........6...........10.............16...............26

....4.....6.......18.........34...........86............180..............426

....8....16.......72........212..........786...........2594.............9110

...16....38......286.......1096.........6280..........28598...........149238

...32....98.....1162.......6422........54726.........373612..........2880294

...64...244.....4700......35812.......463746........4575512.........52413310

..128...614....19046.....202662......3960146.......57116962........969423130

..256..1542....77198....1143320.....33785542......710022390......17870306268

..512..3872...312944....6451714....288335090.....8831593874.....329607859688

.1024..9726..1268694...36412818...2461034914...109858747456....6079480914622

.2048.24426..5143506..205486910..21006978672..1366468080924..112133703714680

.4096.61348.20852924.1159668470.179319456042.16997248406138.2068302082008760

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

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

Crossrefs

Column 2 is A217631

Row 1 is A006355(n+1)

Sequence in context: A363213 A089076 A123067 * A218064 A352227 A334001

Adjacent sequences: A218894 A218895 A218896 * A218898 A218899 A218900

Keyword

nonn,tabl

Author

R. H. Hardin Nov 08 2012

Status

approved