A218522 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..3 nXk array.

4, 4, 16, 16, 36, 64, 36, 286, 236, 256, 94, 1348, 4634, 1528, 1024, 236, 7902, 46140, 76214, 9858, 4096, 602, 42812, 639228, 1608968, 1254462, 63592, 16384, 1528, 242438, 7687526, 49466988, 55161270, 20655650, 410218, 65536, 3882, 1349524

Offset

1,1

Comments

Table starts

.....4.......4.........16............36...............94.................236

....16......36........286..........1348.............7902...............42812

....64.....236.......4634.........46140...........639228.............7687526

...256....1528......76214.......1608968.........49466988..........1326731972

..1024....9858....1254462......55161270.......3856183182........232640291710

..4096...63592...20655650....1884162624.....300890728324......40522780697742

.16384..410218..340133516...64278999490...23498366579584....7051080210074740

.65536.2646208.5601018048.2192134613268.1835588124922808.1226141540661411646

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Example

Some solutions for n=3 k=4
..3..1..0..0....3..1..1..0....2..2..2..2....2..1..1..1....0..0..0..0
..2..1..0..3....2..0..0..0....3..3..2..0....3..1..1..1....2..0..1..2
..2..3..0..0....0..0..0..2....3..0..0..0....2..1..2..2....0..0..1..3

Crossrefs

Row 1 is A218051

Sequence in context: A196064 A220761 A278238 * A303072 A231839 A056450

Adjacent sequences: A218519 A218520 A218521 * A218523 A218524 A218525

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 31 2012

Status

approved