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A184207 T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing fewer than two 1s.

%I A184207 #7 Jul 22 2025 09:30:09
%S A184207 11,35,35,108,195,108,337,1028,1028,337,1049,5529,8969,5529,1049,3268,
%T A184207 29593,80812,80812,29593,3268,10179,158648,721939,1232795,721939,
%U A184207 158648,10179,31707,850155,6468501,18588589,18588589,6468501,850155,31707,98764
%N A184207 T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing fewer than two 1s.
%C A184207 Table starts
%C A184207 .....11........35.........108............337.............1049
%C A184207 .....35.......195........1028...........5529............29593
%C A184207 ....108......1028........8969..........80812...........721939
%C A184207 ....337......5529.......80812........1232795.........18588589
%C A184207 ...1049.....29593......721939.......18588589........471487297
%C A184207 ...3268....158648.....6468501......281420718......12021784217
%C A184207 ..10179....850155....57909336.....4255603649.....306055720601
%C A184207 ..31707...4556371...518574936....64377477751....7795714368919
%C A184207 ..98764..24418812..4643443850...973770904216..198537902186962
%C A184207 .307641.130868377.41579555979.14729764992131.5056537169718019
%H A184207 R. H. Hardin, <a href="/A184207/b184207.txt">Table of n, a(n) for n = 1..420</a>
%e A184207 Some solutions for 4X3
%e A184207 ..1..1..1....0..1..0....1..1..1....0..1..1....1..0..1....0..1..0....0..1..0
%e A184207 ..0..1..0....1..1..1....0..1..1....0..1..1....1..1..0....0..1..0....1..1..0
%e A184207 ..0..1..0....0..1..1....0..1..0....1..1..0....0..1..1....0..1..1....0..1..0
%e A184207 ..1..1..1....0..1..0....0..1..1....1..1..1....1..1..0....0..1..0....0..1..1
%Y A184207 Diagonal is A140314(n+1)
%Y A184207 Column 1 is A052550(n+2)
%K A184207 nonn,tabl
%O A184207 1,1
%A A184207 _R. H. Hardin_ Jan 10 2011