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%I #6 Mar 15 2023 14:43:59
%S 5,25,25,92,288,92,340,1504,1504,340,1252,7656,6112,7656,1252,4616,
%T 38096,23920,23920,38096,4616,17012,190308,89776,74248,89776,190308,
%U 17012,62696,953072,339952,230784,230784,339952,953072,62696,231044,4776628
%N 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.
%C Table starts
%C ......5........25.......92......340......1252......4616.....17012......62696
%C .....25.......288.....1504.....7656.....38096....190308....953072....4776628
%C .....92......1504.....6112....23920.....89776....339952...1282192....4848664
%C ....340......7656....23920....74248....230784....721864...2263704....7152956
%C ...1252.....38096....89776...230784....631264...1820904...5120120...14529352
%C ...4616....190308...339952...721864...1820904...5006296..13435392...35632192
%C ..17012....953072..1282192..2263704...5120120..13435392..34825856...92019824
%C ..62696...4776628..4848664..7152956..14529352..35632192..92019824..249438952
%C .231044..23912032.18309816.22522200..40869008..95276272.231761056..629259440
%C .851496.119676172.69096768.71566116.116148576.261736272.593080872.1576560016
%H R. H. Hardin, <a href="/A265973/b265973.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 8] for n>9
%F k=2: [order 32] for n>33
%e Some solutions for n=4, k=4
%e ..1..3..0..1....0..0..1..1....3..1..0..3....2..4..4..2....4..4..3..3
%e ..0..4..4..3....4..4..3..0....3..1..0..4....2..1..1..3....1..1..0..2
%e ..0..1..1..3....1..1..3..2....2..4..3..1....4..3..0..0....0..3..4..2
%e ..3..3..0..2....2..0..0..2....2..4..3..1....1..3..2..2....2..3..1..1
%Y Column 1 is A265929.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 19 2015
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