cp's OEIS Frontend

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.

%I A184467 #7 Jul 22 2025 09:35:03
%S A184467 3,7,7,26,35,26,91,244,244,91,334,1693,3090,1693,334,1212,12324,42874,
%T A184467 42874,12324,1212,4496,89908,616534,1181303,616534,89908,4496,16809,
%U A184467 667600,9016218,33787978,33787978,9016218,667600,16809,63442,5002165
%N 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.
%C A184467 Table starts
%C A184467 ......3.........7...........26..............91.................334
%C A184467 ......7........35..........244............1693...............12324
%C A184467 .....26.......244.........3090...........42874..............616534
%C A184467 .....91......1693........42874.........1181303............33787978
%C A184467 ....334.....12324.......616534........33787978..........1925704384
%C A184467 ...1212.....89908......9016218.......986306398........112210745828
%C A184467 ...4496....667600....133687638.....29202473260.......6636592203096
%C A184467 ..16809...5002165...2002023718....873679701315.....396770571117114
%C A184467 ..63442..37777626..30215911640..26348265181700...23916105558978568
%C A184467 .240728.286971238.458822048550.799618906955872.1450886078150900726
%H A184467 R. H. Hardin, <a href="/A184467/b184467.txt">Table of n, a(n) for n = 1..180</a>
%e A184467 Some solutions for 4X3
%e A184467 ..0..0..1....0..0..1....0..0..0....0..0..1....0..1..0....0..1..0....0..0..1
%e A184467 ..0..1..0....1..1..1....1..1..1....0..0..1....0..0..1....1..1..0....1..1..0
%e A184467 ..0..1..0....0..0..1....0..0..1....0..1..1....0..1..0....0..0..1....1..1..0
%e A184467 ..1..1..0....1..0..0....0..0..1....0..1..1....1..1..1....1..0..1....0..0..0
%e A184467 ...
%e A184467 ...M..E.......E..P.......E..E.......M..E.......M..E.......P..E.......E..E...
%e A184467 ...E..E.......E..P.......E..P.......M..P.......M..E.......E..E.......P..E...
%e A184467 ...P..E.......M..M.......M..E.......E..P.......P..P.......M..E.......E..M...
%K A184467 nonn,tabl
%O A184467 1,1
%A A184467 _R. H. Hardin_ Jan 15 2011