A195969 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors equal to itself

1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 5, 1, 1, 2, 1, 7, 7, 1, 2, 1, 2, 14, 21, 14, 2, 1, 1, 1, 25, 48, 48, 25, 1, 1, 2, 1, 35, 118, 193, 118, 35, 1, 2, 1, 2, 56, 222, 417, 417, 222, 56, 2, 1, 1, 1, 107, 527, 804, 746, 804, 527, 107, 1, 1, 2, 1, 173, 1370, 2745, 2906, 2906, 2745, 1370, 173, 1

Offset

1,4

Comments

Table starts

.1.1...2....1.....1.....2......1.......1........2.........1..........1

.1.1...2....1.....1.....2......1.......1........2.........1..........1

.2.2...5....7....14....25.....35......56......107.......173........284

.1.1...7...21....48...118....222.....527.....1370......3336.......7717

.1.1..14...48...193...417....804....2745.....9547.....24176......61074

.2.2..25..118...417...746...2906...10899....31616.....88860.....304443

.1.1..35..222...804..2906..13302...45127...175176....652860....2507734

.1.1..56..527..2745.10899..45127..230806..1286915...5852816...25974478

.2.2.107.1370..9547.31616.175176.1286915..8567404..45096728..245873636

.1.1.173.3336.24176.88860.652860.5852816.45096728.292294619.1975861410

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Sequence in context: A094781 A023582 A306717 * A023518 A326194 A331251

Adjacent sequences: A195966 A195967 A195968 * A195970 A195971 A195972

Keyword

nonn,tabl

Author

R. H. Hardin Sep 25 2011

Status

approved