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A265973 T(n,k)=Number of nXk 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique. 8
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

LINKS

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

FORMULA

Empirical for column k:

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

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

EXAMPLE

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

CROSSREFS

Column 1 is A265929.

Sequence in context: A070382 A271379 A192493 * A265928 A039936 A124398

Adjacent sequences:  A265970 A265971 A265972 * A265974 A265975 A265976

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2015

STATUS

approved

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Last modified June 6 17:28 EDT 2020. Contains 334830 sequences. (Running on oeis4.)