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A205352 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order. 7

%I #8 Apr 20 2013 08:17:02

%S 15,110,110,1024,1750,1024,9894,30904,30904,9894,96288,544616,1080457,

%T 544616,96288,937926,9559986,36759026,36759026,9559986,937926,9140400,

%U 168343322,1257218433,2423004172,1257218433,168343322,9140400,89074638

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.

%C Table starts

%C .......15.........110..........1024...........9894..........96288

%C ......110........1750.........30904.........544616........9559986

%C .....1024.......30904.......1080457.......36759026.....1257218433

%C .....9894......544616......36759026.....2423004172...161391622662

%C ....96288.....9559986....1257218433...161391622662.21200252524407

%C ...937926...168343322...43053361050.10806656599274

%C ..9140400..2962323362.1474675468656

%C .89074638.52122083398

%H R. H. Hardin, <a href="/A205352/b205352.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=4 k=3

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

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

%e ..1..0..2..3....1..1..2..2....1..1..2..0....1..2..0..0....1..3..2..1

%e ..1..3..0..3....0..0..3..0....3..1..3..1....3..2..2..1....1..0..3..1

%e ..1..3..1..2....0..0..1..2....2..1..3..0....1..3..1..1....1..1..3..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 26 2012

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Last modified April 17 20:47 EDT 2024. Contains 371767 sequences. (Running on oeis4.)