A265973 T(n,k) = Number of n X k 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

5, 25, 25, 92, 288, 92, 340, 1504, 1504, 340, 1252, 7656, 6112, 7656, 1252, 4616, 38096, 23920, 23920, 38096, 4616, 17012, 190308, 89776, 74248, 89776, 190308, 17012, 62696, 953072, 339952, 230784, 230784, 339952, 953072, 62696, 231044, 4776628

Offset: 1

Author

R. H. Hardin, Dec 19 2015

Keywords

• nonn
• tabl

Comments

Table starts

......5........25.......92......340......1252......4616.....17012......62696

.....25.......288.....1504.....7656.....38096....190308....953072....4776628

.....92......1504.....6112....23920.....89776....339952...1282192....4848664

....340......7656....23920....74248....230784....721864...2263704....7152956

...1252.....38096....89776...230784....631264...1820904...5120120...14529352

...4616....190308...339952...721864...1820904...5006296..13435392...35632192

..17012....953072..1282192..2263704...5120120..13435392..34825856...92019824

..62696...4776628..4848664..7152956..14529352..35632192..92019824..249438952

.231044..23912032.18309816.22522200..40869008..95276272.231761056..629259440

.851496.119676172.69096768.71566116.116148576.261736272.593080872.1576560016

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A265929.

Formula

Empirical for column k:

k=1: [linear recurrence of order 8] for n>9

k=2: [order 32] for n>33