A203460 - OEIS

A203460

T(n,k) = Number of n X k 0..2 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.

1, 1, 1, 1, 3, 1, 1, 9, 9, 1, 1, 22, 84, 22, 1, 1, 63, 543, 543, 63, 1, 1, 209, 3748, 8837, 3748, 209, 1, 1, 686, 29677, 143936, 143936, 29677, 686, 1, 1, 2228, 237999, 2527020, 5660631, 2527020, 237999, 2228, 1, 1, 7365, 1882149, 44974778, 231588325

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,5

COMMENTS

Table starts

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

.1....3.......9........22...........63.............209...............686

.1....9......84.......543.........3748...........29677............237999

.1...22.....543......8837.......143936.........2527020..........44974778

.1...63....3748....143936......5660631.......231588325........9441977403

.1..209...29677...2527020....231588325.....22078482448.....2078403848722

.1..686..237999..44974778...9441977403...2078403848722...449985495293440

.1.2228.1882149.799146435.385259518988.195550611728699.97229907706009899

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for n=5, k=3

..0..1..1....1..2..2....0..2..2....2..2..1....0..2..2....1..2..2....0..2..2

..0..1..1....2..2..2....2..2..2....2..2..1....0..2..2....1..2..2....2..2..2

..1..1..1....2..1..1....2..1..0....0..2..1....1..1..0....2..2..1....2..1..1

..1..2..2....2..2..0....2..2..1....2..2..2....2..2..2....2..2..2....2..2..1

..1..2..2....2..2..0....2..2..1....2..2..2....2..2..2....1..2..2....2..2..0

CROSSREFS

Sequence in context: A319729 A106340 A156610 * A157179 A152655 A144493

Adjacent sequences: A203457 A203458 A203459 * A203461 A203462 A203463

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 02 2012

STATUS

approved