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A205415 T(n,k)=Number of (n+2)X(k+2) 0..2 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..2 introduced in row major order 9

%I #5 Mar 31 2012 12:37:06

%S 468,3868,3868,33322,44596,33322,236576,549414,549414,236576,1820215,

%T 5686031,10331386,5686031,1820215,14452683,64878898,151598017,

%U 151598017,64878898,14452683,109757792,768581101,2553087985,2839359056,2553087985

%N T(n,k)=Number of (n+2)X(k+2) 0..2 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..2 introduced in row major order

%C Table starts

%C .......468........3868..........33322.........236576........1820215

%C ......3868.......44596.........549414........5686031.......64878898

%C .....33322......549414.......10331386......151598017.....2553087985

%C ....236576.....5686031......151598017.....2839359056....67792717447

%C ...1820215....64878898.....2553087985....67792717447..2520131261396

%C ..14452683...768581101....45661264026..1715387177450.98445276297551

%C .109757792..8606465750...735422130329.36803297869771

%C .844627201.98080551694.12286397087182

%H R. H. Hardin, <a href="/A205415/b205415.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 26 2012

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)