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 A207228 T(n,k)=Number of nXk 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column or nw-se diagonal 7

%I

%S 3,9,9,23,81,23,61,529,529,61,161,3721,6819,3721,161,425,25921,100997,

%T 100997,25921,425,1121,180625,1482361,3447649,1482361,180625,1121,

%U 2957,1256641,21553541,115679881,115679881,21553541,1256641,2957,7801,8743849

%N T(n,k)=Number of nXk 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column or nw-se diagonal

%C Table starts

%C ....3.......9.........23............61..............161.................425

%C ....9......81........529..........3721............25921..............180625

%C ...23.....529.......6819........100997..........1482361............21553541

%C ...61....3721.....100997.......3447649........115679881..........3814387801

%C ..161...25921....1482361.....115679881.......8779228417........648206318305

%C ..425..180625...21553541....3814387801.....648206318305.....105855104360481

%C .1121.1256641..312522517..125372637881...47644493869633...17182219699443153

%C .2957.8743849.4536114221.4126073501121.3508487676429289.2796398012458324953

%H R. H. Hardin, <a href="/A207228/b207228.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A207008

%Y Column 2 is A207009

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 16 2012

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Last modified September 19 14:14 EDT 2020. Contains 337178 sequences. (Running on oeis4.)