A203397 T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor

1, 1, 1, 1, 16, 1, 1, 185, 185, 1, 1, 1455, 7785, 1455, 1, 1, 10804, 210342, 210342, 10804, 1, 1, 83876, 5666072, 18530502, 5666072, 83876, 1, 1, 661595, 163500122, 1650100394, 1650100394, 163500122, 661595, 1, 1, 5187181, 4711784187

Offset

1,5

Comments

Table starts

.1.......1............1................1....................1

.1......16..........185.............1455................10804

.1.....185.........7785...........210342..............5666072

.1....1455.......210342.........18530502...........1650100394

.1...10804......5666072.......1650100394.........474618867194

.1...83876....163500122.....156174348536......146110498224967

.1..661595...4711784187...14710444493905....45159146324783578

.1.5187181.134023641768.1372836933907585.13840616100127064523

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Sequence in context: A202750 A177823 A142462 * A338029 A173885 A173585

Adjacent sequences: A203394 A203395 A203396 * A203398 A203399 A203400

Keyword

nonn,tabl

Author

R. H. Hardin Jan 01 2012

Status

approved