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A189245 T(n,k)=Number of nXk array permutations with each element moved by a city block distance of one 1
0, 1, 1, 0, 4, 0, 1, 9, 9, 1, 0, 25, 0, 25, 0, 1, 64, 121, 121, 64, 1, 0, 169, 0, 1296, 0, 169, 0, 1, 441, 1681, 9025, 9025, 1681, 441, 1, 0, 1156, 0, 78961, 0, 78961, 0, 1156, 0, 1, 3025, 23409, 609961, 1399489, 1399489, 609961, 23409, 3025, 1, 0, 7921, 0, 5040025, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Relation to A099390: where two tilings align, they define a swap; where two tilings cross, they define a cycle

Table starts

.0....1......0.........1...........0..............1................0

.1....4......9........25..........64............169..............441

.0....9......0.......121...........0...........1681................0

.1...25....121......1296........9025..........78961...........609961

.0...64......0......9025...........0........1399489................0

.1..169...1681.....78961.....1399489.......45265984........994077841

.0..441......0....609961...........0......994077841................0

.1.1156..23409...5040025...219750976....27918733921....1671065533809

.0.3025......0..40144896...........0...669109276081................0

.1.7921.326041.326199721.34566618241.17750489675689.2827635608217289

LINKS

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

EXAMPLE

Some.solutions.for.4X4

..4..5..3..2....4..0..3..2....1..2..6..7....4..0..3..7....1..2..3..7

..0..1..7..6....5..1..7..6....0..4..5..3....5..1..2..6....0..9.10..6

..9.10.14.15...12.13.11.10...12.10.11.15....9..8.11.15....4..5.14.15

..8.12.13.11....8..9.15.14....8..9.13.14...13.12.10.14....8.12.13.11

CROSSREFS

Square of A099390

Sequence in context: A121408 A186761 A199786 * A289222 A121301 A059056

Adjacent sequences:  A189242 A189243 A189244 * A189246 A189247 A189248

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, with A099390 interpretative help from William Keith in the Sequence Fans Mailing List, Apr 19 2011

STATUS

approved

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Last modified June 20 05:01 EDT 2019. Contains 324229 sequences. (Running on oeis4.)