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A218084 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 nXk array 8

%I #4 Oct 20 2012 07:55:59

%S 2,2,2,4,4,4,6,8,8,6,10,18,26,18,10,16,38,78,78,38,16,26,82,246,342,

%T 246,82,26,42,176,762,1508,1508,762,176,42,68,378,2370,6606,9570,6606,

%U 2370,378,68,110,812,7372,29136,60258,60258,29136,7372,812,110,178,1744,22916

%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 nXk array

%C Table starts

%C ...2....2......4........6.........10...........16.............26

%C ...2....4......8.......18.........38...........82............176

%C ...4....8.....26.......78........246..........762...........2370

%C ...6...18.....78......342.......1508.........6606..........29136

%C ..10...38....246.....1508.......9570........60258.........380952

%C ..16...82....762.....6606......60258.......541648........4899478

%C ..26..176...2370....29136.....380952......4899478.......63539000

%C ..42..378...7372...128220....2406376.....44312938......823053378

%C ..68..812..22916...564548...15206400....400643990....10661120138

%C .110.1744..71264..2485936...96092194...3623411680...138149847118

%C .178.3746.221580.10945378..607206590..32768022636..1789888932316

%C .288.8046.688986.48194280.3837073622.296337070254.23191276369530

%H R. H. Hardin, <a href="/A218084/b218084.txt">Table of n, a(n) for n = 1..336</a>

%e Some solutions for n=3 k=4

%e ..1..0..0..0....0..0..0..0....1..1..0..0....1..0..0..0....0..0..1..0

%e ..1..0..0..0....0..0..0..1....1..0..0..0....1..0..0..0....0..1..0..0

%e ..0..0..0..0....0..0..0..1....1..0..0..1....0..0..0..1....1..0..0..0

%Y Column 1 is A006355(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 20 2012

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Last modified September 1 18:57 EDT 2024. Contains 375594 sequences. (Running on oeis4.)