A203443 T(n,k)=Number of nXk 0..7 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors

1, 1, 1, 1, 8, 1, 1, 64, 64, 1, 1, 372, 4124, 372, 1, 1, 2528, 142108, 142108, 2528, 1, 1, 21988, 4401184, 24278164, 4401184, 21988, 1, 1, 186348, 168492336, 3216740482, 3216740482, 168492336, 186348, 1, 1, 1484834, 6975234574, 482229769194

Offset

1,5

Comments

Table starts

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

.1.......8...........64............372.............2528............21988

.1......64.........4124.........142108..........4401184........168492336

.1.....372.......142108.......24278164.......3216740482.....482229769194

.1....2528......4401184.....3216740482....1842430382222.1163067191357930

.1...21988....168492336...482229769194.1163067191357930

.1..186348...6975234574.79772073060022

.1.1484834.276131799334

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=5 k=3
..4..5..5....5..5..3....4..4..4....7..7..2....6..6..0....2..4..4....3..3..0
..4..7..7....5..5..3....7..7..6....7..7..5....6..7..7....2..4..4....3..4..4
..4..7..7....4..2..1....7..7..7....0..7..5....7..7..7....7..7..7....1..7..7
..2..6..6....4..4..1....4..7..7....3..7..7....7..3..7....7..6..7....0..7..7
..0..6..6....4..4..0....3..3..0....3..7..7....7..7..7....7..7..7....0..1..1

Crossrefs

Sequence in context: A176227 A340560 A022171 * A176642 A172346 A178048

Adjacent sequences: A203440 A203441 A203442 * A203444 A203445 A203446

Keyword

nonn,tabl

Author

R. H. Hardin Jan 01 2012

Status

approved