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A207368 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A207368 #7 Jul 22 2025 20:20:58
%S A207368 2,4,4,6,16,6,9,36,36,9,13,81,90,81,12,18,169,252,225,144,16,25,324,
%T A207368 624,784,420,256,20,34,625,1350,2304,1736,784,400,25,46,1156,3025,
%U A207368 5625,5856,3844,1260,625,30,62,2116,6256,14641,15525,14884,7130,2025,900,36,83
%N A207368 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A207368 Table starts
%C A207368 ..2...4....6.....9....13.....18.....25......34......46.......62.......83
%C A207368 ..4..16...36....81...169....324....625....1156....2116.....3844.....6889
%C A207368 ..6..36...90...252...624...1350...3025....6256...12788....25792....50630
%C A207368 ..9..81..225...784..2304...5625..14641...33856...77284...173056...372100
%C A207368 .12.144..420..1736..5856..15525..45738..115368..287174...700960..1620770
%C A207368 .16.256..784..3844.14884..42849.142884..393129.1067089..2839225..7059649
%C A207368 .20.400.1260..7130.31110..95220.353808.1047717.3056647..8773795.23208895
%C A207368 .25.625.2025.13225.65025.211600.876096.2792241.8755681.27112849.76300225
%H A207368 R. H. Hardin, <a href="/A207368/b207368.txt">Table of n, a(n) for n = 1..684</a>
%e A207368 Some solutions for n=4 k=3
%e A207368 ..1..1..1....1..1..0....0..0..1....0..0..1....1..1..1....0..1..0....1..1..0
%e A207368 ..0..1..0....0..0..1....1..1..0....1..1..1....1..1..1....0..1..0....1..0..1
%e A207368 ..1..1..1....0..1..0....0..0..1....0..0..1....0..1..0....0..1..0....1..0..0
%e A207368 ..0..1..0....0..0..1....0..1..0....0..1..0....0..1..0....0..1..0....0..0..1
%Y A207368 Column 1 is A002620(n+2)
%Y A207368 Column 2 is A030179(n+2)
%Y A207368 Row 1 is A171861(n+1)
%Y A207368 Row 2 is A207025
%Y A207368 Row 3 is A207026
%K A207368 nonn,tabl
%O A207368 1,1
%A A207368 _R. H. Hardin_ Feb 17 2012