A195962 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors unequal to itself

1, 1, 1, 2, 1, 2, 1, 6, 6, 1, 1, 5, 10, 5, 1, 2, 5, 16, 16, 5, 2, 1, 14, 21, 19, 21, 14, 1, 1, 21, 44, 25, 25, 44, 21, 1, 2, 29, 82, 70, 33, 70, 82, 29, 2, 1, 54, 144, 105, 93, 93, 105, 144, 54, 1, 1, 93, 273, 155, 92, 214, 92, 155, 273, 93, 1, 2, 149, 531, 332, 229, 410, 410, 229, 332

Offset

1,4

Comments

Table starts

.1..1...2...1...1....2.....1.....1......2......1.......1........2........1

.1..1...6...5...5...14....21....29.....54.....93.....149......254......437

.2..6..10..16..21...44....82...144....273....531....1032.....1960.....3805

.1..5..16..19..25...70...105...155....332....557....1043.....1904.....3391

.1..5..21..25..33...93....92...229....468....795....1482.....2849.....5272

.2.14..44..70..93..214...410...998...2123...4591...11034....26330....60901

.1.21..82.105..92..410...945..1919...4478..10274...27467....73240...184074

.1.29.144.155.229..998..1919..4847..15072..43789..117755...368812..1123271

.2.54.273.332.468.2123..4478.15072..52912.166310..565567..2117127..7532871

.1.93.531.557.795.4591.10274.43789.166310.661587.2492452.11580819.46651212

Links

R. H. Hardin, Table of n, a(n) for n = 1..241

Example

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

Crossrefs

Sequence in context: A169593 A057568 A220587 * A046749 A016543 A300585

Adjacent sequences: A195959 A195960 A195961 * A195963 A195964 A195965

Keyword

nonn,tabl

Author

R. H. Hardin Sep 25 2011

Status

approved