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A185487 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant 10

%I #5 Mar 31 2012 12:36:01

%S 0,30,30,76,148,76,234,684,684,234,632,3262,4740,3262,632,1832,15402,

%T 35672,35672,15402,1832,5182,73094,260172,431655,260172,73094,5182,

%U 14860,346356,1923780,5026765,5026765,1923780,346356,14860,42346,1642258

%N T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

%C Table starts

%C ......0.......30.........76...........234.............632..............1832

%C .....30......148........684..........3262...........15402.............73094

%C .....76......684.......4740.........35672..........260172...........1923780

%C ....234.....3262......35672........431655.........5026765..........59486818

%C ....632....15402.....260172.......5026765........92026207........1723639416

%C ...1832....73094....1923780......59486818......1723639416.......51354095605

%C ...5182...346356...14150114.....699638196.....31993561712.....1513130455943

%C ..14860..1642258..104300522....8249951270....596127705496....44794190542169

%C ..42346..7785218..768160718...97185031842..11090335813888..1323525925470463

%C .121016.36909314.5659345888.1145303393559.206455498003433.39137379574959336

%H R. H. Hardin, <a href="/A185487/b185487.txt">Table of n, a(n) for n = 1..199</a>

%e Some solutions for 4X3 with

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 28 2011

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)