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%I #5 Mar 31 2012 12:35:54
%S 1,3,3,9,13,9,27,55,55,27,81,237,322,237,81,243,1011,1953,1953,1011,
%T 243,729,4341,11619,16953,11619,4341,729,2187,18567,70044,143191,
%U 143191,70044,18567,2187,6561,79605,418925,1232595,1701473,1232595,418925,79605
%N T(n,k)=1/16 the number of (n+1)X(k+1) binary arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor
%C Table starts
%C .....1.......3........9.........27...........81............243..............729
%C .....3......13.......55........237.........1011...........4341............18567
%C .....9......55......322.......1953........11619..........70044...........418925
%C ....27.....237.....1953......16953.......143191........1232595.........10494847
%C ....81....1011....11619.....143191......1701473.......20745787........249227639
%C ...243....4341....70044....1232595.....20745787......360549804.......6153770375
%C ...729...18567...418925...10494847....249227639.....6153770375.....148654946039
%C ..2187...79605..2518389...89998565...3023598287...106324742825....3645190453457
%C ..6561..340803.15091626..768481445..36466869997..1823862776230...88602958444787
%C .19683.1460349.90619253.6579905737.441485256003.31435034643715.2166253373649057
%H R. H. Hardin, <a href="/A183811/b183811.txt">Table of n, a(n) for n = 1..143</a>
%e Some solutions with upper left block zero for 4X3
%e ..0..0..1....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1....0..0..1
%e ..0..0..1....0..0..1....0..0..1....0..0..0....0..0..1....0..0..1....0..0..1
%e ..0..1..0....1..1..1....1..1..0....0..1..1....1..0..1....1..0..0....1..0..0
%e ..1..1..0....0..1..1....0..1..0....1..1..0....0..1..1....1..1..0....1..1..1
%Y Column 1 is A000244(n-1)
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 07 2011
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