cp's OEIS Frontend

A183819 T(n,k)=1/81 the number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor.

%I A183819 #7 Jul 22 2025 09:12:32
%S A183819 1,8,8,64,162,64,512,3256,3256,512,4096,65640,163208,65640,4096,32768,
%T A183819 1321860,8231592,8231592,1321860,32768,262144,26630220,414246824,
%U A183819 1042063656,414246824,26630220,262144,2097152,536415300,20864057480
%N A183819 T(n,k)=1/81 the number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor.
%C A183819 Table starts
%C A183819 .........1.............8...............64................512
%C A183819 .........8...........162.............3256..............65640
%C A183819 ........64..........3256...........163208............8231592
%C A183819 .......512.........65640..........8231592.........1042063656
%C A183819 ......4096.......1321860........414246824.......131467169720
%C A183819 .....32768......26630220......20864057480.....16607782066704
%C A183819 ....262144.....536415300....1050517114472...2096961683069192
%C A183819 ...2097152...10805642100...52900274426120.264820293988996048
%C A183819 ..16777216..217666494900.2663752907479720
%C A183819 .134217728.4384657426500
%H A183819 R. H. Hardin, <a href="/A183819/b183819.txt">Table of n, a(n) for n = 1..70</a>
%e A183819 Some solutions with upper left block zero for 4X3
%e A183819 ..0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..1....0..0..1
%e A183819 ..0..0..2....0..0..0....0..0..2....0..0..1....0..0..1....0..0..0....0..0..1
%e A183819 ..1..0..1....0..2..1....1..2..0....1..1..0....2..1..1....2..1..0....1..1..2
%e A183819 ..2..1..1....1..2..2....1..1..0....0..1..1....0..2..0....0..2..2....2..0..2
%Y A183819 Column 1 is A001018(n-1)
%K A183819 nonn,tabl
%O A183819 1,2
%A A183819 _R. H. Hardin_ Jan 07 2011