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A206659 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order 9

%I #5 Mar 31 2012 12:37:12

%S 102,390,390,1517,1769,1517,5805,8374,8374,5805,22346,39928,50529,

%T 39928,22346,86251,190577,305347,305347,190577,86251,332419,910169,

%U 1839784,2324028,1839784,910169,332419,1281181,4345011,11172263,17859249

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order

%C Table starts

%C .....102......390......1517.......5805........22346.........86251

%C .....390.....1769......8374......39928.......190577........910169

%C ....1517.....8374.....50529.....305347......1839784......11172263

%C ....5805....39928....305347....2324028.....17859249.....138177925

%C ...22346...190577...1839784...17859249....175401820....1731487818

%C ...86251...910169..11172263..138177925...1731487818...21966491761

%C ..332419..4345011..67724531.1063970081..17082121522..278034719471

%C .1281181.20745372.410177144.8203665888.168628106667.3516414118117

%H R. H. Hardin, <a href="/A206659/b206659.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 11 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)