A265929 -id:A265929 - cp's OEIS frontend

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

R. H. Hardin, Dec 19 2015

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

			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

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

Column 1 is A265929.

Empirical for column k:
k=1: [linear recurrence of order 8] for n>9
k=2: [order 32] for n>33

cp's OEIS Frontend

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.

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