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A223149 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order 6

%I #4 Mar 16 2013 06:17:22

%S 1,1,1,2,7,2,10,31,31,10,24,187,211,187,24,72,990,4065,4065,990,72,

%T 168,5721,23376,84196,23376,5721,168,664,32155,487176,1753639,1753639,

%U 487176,32155,664,1632,185667,2859044,36926759,35160014,36926759,2859044,185667

%N T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order

%C Table starts

%C .....1........1..........2...........10............24.............72

%C .....1........7.........31..........187...........990...........5721

%C .....2.......31........211.........4065.........23376.........487176

%C ....10......187.......4065........84196.......1753639.......36926759

%C ....24......990......23376......1753639......35160014.....2829178640

%C ....72.....5721.....487176.....36926759....2829178640...219590496125

%C ...168....32155....2859044....788312639...57855419616.17348791308859

%C ...664...185667...61675900..17055726949.4836446707793

%C ..1632..1068413..371133369.373400072400

%C ..5376..6209614.8139180914

%C .13152.36152732

%C .47968

%H R. H. Hardin, <a href="/A223149/b223149.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3 k=4

%e ..0..1..2..2....0..1..2..0....0..1..0..0....0..1..2..0....0..1..0..1

%e ..2..0..2..0....0..0..1..0....2..0..0..1....2..2..2..2....0..2..2..0

%e ..1..2..1..1....1..0..2..1....1..2..2..0....0..1..0..2....0..0..1..2

%Y Column 1 is A222848

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Mar 16 2013

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Last modified May 24 23:50 EDT 2024. Contains 372782 sequences. (Running on oeis4.)