A203338 T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors

1, 1, 1, 1, 6, 1, 1, 36, 36, 1, 1, 161, 1311, 161, 1, 1, 846, 27056, 27056, 846, 1, 1, 5545, 532547, 2224079, 532547, 5545, 1, 1, 35483, 12872510, 156011082, 156011082, 12872510, 35483, 1, 1, 216488, 327579980, 12492984999, 40063085907, 12492984999

Offset

1,5

Comments

Table starts

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

.1......6.........36............161................846.................5545

.1.....36.......1311..........27056.............532547.............12872510

.1....161......27056........2224079..........156011082..........12492984999

.1....846.....532547......156011082........40063085907.......11409771585523

.1...5545...12872510....12492984999.....11409771585523....11867803667695158

.1..35483..327579980..1066362412766...3356615719680977.12521002071185162318

.1.216488.8009744714.89890925664626.978786459361069636

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

Some solutions for n=4 k=3
..1..4..4....1..5..5....3..3..0....5..5..1....1..1..1....4..4..0....5..5..0
..3..5..5....3..5..5....4..4..4....5..5..1....2..2..1....4..4..1....5..5..3
..3..5..5....3..0..3....4..1..4....3..3..1....2..3..3....5..5..5....3..5..5
..0..0..0....3..3..3....4..4..4....0..1..1....0..3..3....5..5..5....0..5..5

Crossrefs

Sequence in context: A022169 A156601 A178232 * A158116 A172343 A058875

Adjacent sequences: A203335 A203336 A203337 * A203339 A203340 A203341

Keyword

nonn,tabl

Author

R. H. Hardin Dec 31 2011

Status

approved