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.

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

Author

R. H. Hardin Oct 16 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..287
• 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]

Crossrefs

Columns 1 and 2 are A006355(n+1)

Column 3 is A206981(n-1)