cp's OEIS Frontend

A183688 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock nonsingular.

%I A183688 #7 Jul 22 2025 09:09:30
%S A183688 6,12,12,24,32,24,48,80,80,48,96,208,256,208,96,192,528,832,832,528,
%T A183688 192,384,1360,2688,3472,2688,1360,384,768,3472,8704,14144,14144,8704,
%U A183688 3472,768,1536,8912,28160,58448,73344,58448,28160,8912,1536,3072,22800,91136
%N A183688 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock nonsingular.
%C A183688 Table starts
%C A183688 ....6....12.....24.......48........96........192.........384...........768
%C A183688 ...12....32.....80......208.......528.......1360........3472..........8912
%C A183688 ...24....80....256......832......2688.......8704.......28160.........91136
%C A183688 ...48...208....832.....3472.....14144......58448......239424........986128
%C A183688 ...96...528...2688....14144.....73344.....382848.....1992320......10382976
%C A183688 ..192..1360...8704....58448....382848....2542368....16748160.....110871040
%C A183688 ..384..3472..28160...239424...1992320...16748160...140090240....1174759296
%C A183688 ..768..8912..91136...986128..10382976..110871040..1174759296...12503757968
%C A183688 .1536.22800.294912..4047680..54072960..731709056..9838208512..132720731392
%C A183688 .3072.58448.954368.16650448.281700992.4838473472.82449830016.1411193901024
%H A183688 R. H. Hardin, <a href="/A183688/b183688.txt">Table of n, a(n) for n = 1..721</a>
%e A183688 Some solutions for 4X3
%e A183688 ..1..1..1....1..1..0....1..1..1....1..0..1....1..1..0....1..1..0....1..0..1
%e A183688 ..1..0..1....0..1..1....1..0..1....1..1..1....0..1..1....1..0..1....0..1..0
%e A183688 ..0..1..1....1..0..1....0..1..0....1..0..1....1..1..0....1..1..0....1..0..1
%e A183688 ..1..1..0....0..1..1....1..1..1....1..1..1....1..0..1....0..1..1....1..1..0
%Y A183688 Column 1 is A003945(n+1)
%Y A183688 Column 3 is A063727(n+2)
%K A183688 nonn,tabl
%O A183688 1,1
%A A183688 _R. H. Hardin_ Jan 06 2011