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A207908 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

%I A207908 #7 Jul 22 2025 20:58:26
%S A207908 2,4,4,6,16,6,9,36,36,9,15,81,102,81,13,25,225,289,261,169,18,40,625,
%T A207908 1071,841,611,324,25,64,1600,3969,4089,2209,1278,625,34,104,4096,
%U A207908 13230,19881,13865,5041,2625,1156,46,169,10816,44100,80511,87025,39831,11025
%N A207908 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.
%C A207908 Table starts
%C A207908 ..2....4....6.....9.....15......25.......40........64........104.........169
%C A207908 ..4...16...36....81....225.....625.....1600......4096......10816.......28561
%C A207908 ..6...36..102...289...1071....3969....13230.....44100.....153090......531441
%C A207908 ..9...81..261...841...4089...19881....80511....326041....1428071.....6255001
%C A207908 .13..169..611..2209..13865...87025...417425...2002225...10896915....59305401
%C A207908 .18..324.1278..5041..39831..314721..1726758...9474084...62431074...411400089
%C A207908 .25..625.2625.11025.110775.1113025..6835345..41977441..336253621..2693506201
%C A207908 .34.1156.5134.22801.289467.3674889.24832818.167806116.1627138986.15777620881
%H A207908 R. H. Hardin, <a href="/A207908/b207908.txt">Table of n, a(n) for n = 1..513</a>
%e A207908 Some solutions for n=4 k=3
%e A207908 ..0..1..1....1..0..0....1..0..0....0..0..1....0..0..1....0..1..1....0..0..1
%e A207908 ..1..1..0....0..0..1....0..1..1....1..0..0....1..0..1....1..1..0....1..1..1
%e A207908 ..0..1..1....1..1..0....1..0..0....0..1..1....0..1..1....0..0..1....0..0..1
%e A207908 ..1..0..0....0..0..1....0..0..1....1..0..0....0..0..1....1..0..0....1..0..0
%Y A207908 Column 1 is A171861(n+1)
%Y A207908 Column 2 is A207025
%Y A207908 Row 1 is A006498(n+2)
%Y A207908 Row 2 is A189145(n+2)
%Y A207908 Row 3 is A207704
%K A207908 nonn,tabl
%O A207908 1,1
%A A207908 _R. H. Hardin_ Feb 21 2012