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A184686 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock singular.

%I A184686 #7 Jul 22 2025 09:41:35
%S A184686 10,28,28,76,128,76,208,544,544,208,568,2384,3360,2384,568,1552,10384,
%T A184686 21968,21968,10384,1552,4240,45392,140816,221968,140816,45392,4240,
%U A184686 11584,198352,909520,2171152,2171152,909520,198352,11584,31648,867152,5858896
%N A184686 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock singular.
%C A184686 Table starts
%C A184686 ....10.......28.........76..........208............568.............1552
%C A184686 ....28......128........544.........2384..........10384............45392
%C A184686 ....76......544.......3360........21968.........140816...........909520
%C A184686 ...208.....2384......21968.......221968........2171152.........21547024
%C A184686 ...568....10384.....140816......2171152.......31817360........476660624
%C A184686 ..1552....45392.....909520.....21547024......476660624......10876933264
%C A184686 ..4240...198352....5858896....212829840.....7079094288.....245133874960
%C A184686 .11584...867152...37779664...2107074576...105530924944....5556396815504
%C A184686 .31648..3791056..243525712..20846869136..1570852959248..125663816659728
%C A184686 .86464.16575056.1569965008.206331811088.23397537190544.2845061488472976
%H A184686 R. H. Hardin, <a href="/A184686/b184686.txt">Table of n, a(n) for n = 1..480</a>
%e A184686 Some solutions for 4X3
%e A184686 ..0..1..1....1..0..0....0..0..1....0..0..0....1..0..0....0..0..1....0..1..1
%e A184686 ..0..0..0....0..0..1....1..0..1....1..0..0....0..0..1....1..0..1....0..0..0
%e A184686 ..1..0..0....0..0..0....1..0..1....0..0..0....0..0..0....0..0..0....0..0..0
%e A184686 ..0..0..0....0..0..0....0..0..1....0..1..1....0..1..0....1..1..0....1..0..1
%Y A184686 Column 1 is A026150(n+2)=2*A052945(n+1)
%K A184686 nonn,tabl
%O A184686 1,1
%A A184686 _R. H. Hardin_ Jan 19 2011