A208258 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

1, 2, 2, 5, 12, 5, 14, 96, 96, 14, 41, 768, 2040, 768, 41, 122, 6144, 43344, 43344, 6144, 122, 365, 49152, 920928, 2445264, 920928, 49152, 365, 1094, 393216, 19566912, 137947632, 137947632, 19566912, 393216, 1094, 3281, 3145728, 415737216

Offset

1,2

Comments

Table starts

....1.......2..........5.............14................41...................122

....2......12.........96............768..............6144.................49152

....5......96.......2040..........43344............920928..............19566912

...14.....768......43344........2445264.........137947632............7782199824

...41....6144.....920928......137947632.......20662697664.........3094987890864

..122...49152...19566912.....7782199824.....3094987890864......1230875651548608

..365..393216..415737216...439026252912...463586569433280....489518751475118880

.1094.3145728.8833148160.24767296501776.69438884409258336.194681408759751734640

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Example

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

Crossrefs

Column 1 is A007051(n-1)

Column 2 is A204623(n-1)

Sequence in context: A077182 A230090 A286465 * A208872 A208581 A233357

Adjacent sequences: A208255 A208256 A208257 * A208259 A208260 A208261

Keyword

nonn,tabl

Author

R. H. Hardin Feb 24 2012

Status

approved