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A217982
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array
6
2, 2, 2, 4, 2, 4, 6, 4, 4, 6, 10, 6, 16, 6, 10, 16, 10, 36, 36, 10, 16, 26, 16, 100, 98, 100, 16, 26, 42, 26, 256, 362, 362, 256, 26, 42, 68, 42, 676, 1180, 1942, 1180, 676, 42, 68, 110, 68, 1764, 4046, 8872, 8872, 4046, 1764, 68, 110, 178, 110, 4624, 13594, 43258, 54504
OFFSET
1,1
COMMENTS
Table starts
...2...2.....4.......6........10.........16...........26............42
...2...2.....4.......6........10.........16...........26............42
...4...4....16......36.......100........256..........676..........1764
...6...6....36......98.......362.......1180.........4046.........13594
..10..10...100.....362......1942.......8872........43258........205446
..16..16...256....1180......8872......54504.......363728.......2347480
..26..26...676....4046.....43258.....363728......3375350......30097566
..42..42..1764...13594....205446....2347480.....30097566.....368335390
..68..68..4624...46052....986288...15361400....272859916....4595712084
.110.110.12100..155494...4714274...99957900...2457033362...56890420330
.178.178.31684..525730..22573862..651962620..22187715406..706581935362
.288.288.82944.1776548.108013892.4248252712.200128757472.8763874097740
LINKS
J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0....0..0..1..1....0..0..0..1....1..1..1..1....1..1..0..0
..0..0..0..0....0..0..1..1....0..0..0..1....0..0..0..1....1..1..0..0
..1..1..1..1....0..0..1..1....1..1..1..1....0..0..0..1....1..1..1..1
CROSSREFS
Columns 1 and 2 are A006355(n+1)
Column 3 is A206981(n-1)
Sequence in context: A369902 A130127 A366771 * A184727 A342457 A286849
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 16 2012
STATUS
approved