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A184467 T(n,k)=Half the number of (n+1)X(k+1) binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks 12

%I #5 Mar 31 2012 12:36:00

%S 3,7,7,26,35,26,91,244,244,91,334,1693,3090,1693,334,1212,12324,42874,

%T 42874,12324,1212,4496,89908,616534,1181303,616534,89908,4496,16809,

%U 667600,9016218,33787978,33787978,9016218,667600,16809,63442,5002165

%N T(n,k)=Half the number of (n+1)X(k+1) binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks

%C Table starts

%C ......3.........7...........26..............91.................334

%C ......7........35..........244............1693...............12324

%C .....26.......244.........3090...........42874..............616534

%C .....91......1693........42874.........1181303............33787978

%C ....334.....12324.......616534........33787978..........1925704384

%C ...1212.....89908......9016218.......986306398........112210745828

%C ...4496....667600....133687638.....29202473260.......6636592203096

%C ..16809...5002165...2002023718....873679701315.....396770571117114

%C ..63442..37777626..30215911640..26348265181700...23916105558978568

%C .240728.286971238.458822048550.799618906955872.1450886078150900726

%H R. H. Hardin, <a href="/A184467/b184467.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for 4X3

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

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

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

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

%e ...

%e ...M..E.......E..P.......E..E.......M..E.......M..E.......P..E.......E..E...

%e ...E..E.......E..P.......E..P.......M..P.......M..E.......E..E.......P..E...

%e ...P..E.......M..M.......M..E.......E..P.......P..P.......M..E.......E..M...

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 15 2011

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Last modified May 11 07:10 EDT 2024. Contains 372388 sequences. (Running on oeis4.)