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A219310 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array.

%I A219310 #6 Jul 23 2025 00:22:14
%S A219310 1,2,2,4,6,4,7,18,18,7,12,51,90,51,12,21,142,423,423,142,21,37,405,
%T A219310 1958,3334,1958,405,37,65,1157,9233,25647,25647,9233,1157,65,114,3289,
%U A219310 43725,200376,326444,200376,43725,3289,114,200,9344,206269,1574278,4215579
%N A219310 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array.
%C A219310 Table starts
%C A219310 ...1......2.........4...........7............12.............21.............37
%C A219310 ...2......6........18..........51...........142............405...........1157
%C A219310 ...4.....18........90.........423..........1958...........9233..........43725
%C A219310 ...7.....51.......423........3334.........25647.........200376........1574278
%C A219310 ..12....142......1958.......25647........326444........4215579.......54797587
%C A219310 ..21....405......9233......200376.......4215579.......89981627.....1935133104
%C A219310 ..37...1157.....43725.....1574278......54797587.....1935133104....68906619754
%C A219310 ..65...3289....206269....12334824.....710493819....41520773667..2448261182674
%C A219310 .114...9344....971794....96480571....9194088812...888957906061.86782430779997
%C A219310 .200..26580...4583164...755212375..119051026450.19043081452793
%C A219310 .351..75621..21622807..5914093280.1542298398563
%C A219310 .616.215076.101988408.46306103745
%H A219310 R. H. Hardin, <a href="/A219310/b219310.txt">Table of n, a(n) for n = 1..126</a>
%e A219310 Some solutions for n=3 k=4
%e A219310 ..1..0..0..0....1..0..1..1....0..0..0..0....0..0..0..0....1..0..0..1
%e A219310 ..0..0..0..1....0..0..0..1....0..0..1..0....1..0..0..0....0..0..0..0
%e A219310 ..1..0..0..0....0..0..1..1....1..0..0..0....1..1..1..1....0..1..0..0
%Y A219310 Column 1 is A005251(n+2)
%Y A219310 Column 2 is A219136
%K A219310 nonn,tabl
%O A219310 1,2
%A A219310 _R. H. Hardin_ Nov 17 2012