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A186536 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant 10

%I #5 Mar 31 2012 12:36:05

%S 81,554,554,4020,8410,4020,28522,129762,129762,28522,203346,2004390,

%T 4456218,2004390,203346,1448300,30642746,150041994,150041994,30642746,

%U 1448300,10317234,471337960,5043895240,11180777496,5043895240,471337960

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

%C Table starts

%C .........81...........554............4020............28522............203346

%C ........554..........8410..........129762..........2004390..........30642746

%C .......4020........129762.........4456218........150041994........5043895240

%C ......28522.......2004390.......150041994......11180777496......819481009820

%C .....203346......30642746......5043895240.....819481009820...132204817900858

%C ....1448300.....471337960....169733268904...60763226187367.21417901169134908

%C ...10317234....7226974262...5709526227226.4470558553054728

%C ...73494218..110986523654.192072734086538

%C ..523535260.1703101107186

%C .3729392026

%H R. H. Hardin, <a href="/A186536/b186536.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for 4X3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 23 2011

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Last modified May 10 17:06 EDT 2024. Contains 372388 sequences. (Running on oeis4.)