cp's OEIS Frontend

A208108 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A208108 #7 Jul 22 2025 21:10:08
%S A208108 2,4,4,6,16,6,9,36,36,9,15,81,78,81,14,25,225,169,171,196,22,40,625,
%T A208108 611,361,406,484,35,64,1600,2209,1805,841,990,1225,56,104,4096,6016,
%U A208108 9025,6235,2025,2485,3136,90,169,10816,16384,25555,46225,22995,5041,6328,8100
%N A208108 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A208108 Table starts
%C A208108 ..2....4....6.....9.....15.......25.......40.......64........104.........169
%C A208108 ..4...16...36....81....225......625.....1600.....4096......10816.......28561
%C A208108 ..6...36...78...169....611.....2209.....6016....16384......51840......164025
%C A208108 ..9...81..171...361...1805.....9025....25555....72361.....292941.....1185921
%C A208108 .14..196..406...841...6235....46225...134160...389376....2189616....12313081
%C A208108 .22..484..990..2025..22995...261121...768544..2262016...18608992...153091129
%C A208108 .35.1225.2485..5041..89815..1600225..4747545.14085009..176312187..2207026441
%C A208108 .56.3136.6328.12769.361261.10220809.30461016.90782784.1769397240.34486347025
%H A208108 R. H. Hardin, <a href="/A208108/b208108.txt">Table of n, a(n) for n = 1..845</a>
%e A208108 Some solutions for n=10 k=3
%e A208108 ..1..0..0....0..0..1....1..0..1....1..1..0....1..0..0....0..1..1....0..0..1
%e A208108 ..0..0..1....1..0..0....0..1..1....0..1..1....0..0..1....1..1..0....0..0..1
%e A208108 ..1..0..0....0..1..1....0..0..1....1..1..0....1..1..0....0..1..1....1..0..1
%e A208108 ..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
%e A208108 ..1..0..0....0..1..1....0..1..1....1..1..0....1..0..0....0..1..1....1..0..1
%e A208108 ..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
%e A208108 ..1..0..0....0..0..1....1..1..1....1..1..0....1..0..0....0..1..1....1..1..1
%e A208108 ..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
%e A208108 ..1..1..0....0..1..1....1..1..1....1..1..0....1..0..0....0..1..1....0..0..1
%e A208108 ..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..1..1
%Y A208108 Column 1 is A001611(n+2)
%Y A208108 Column 2 is A207436
%Y A208108 Row 1 is A006498(n+2)
%Y A208108 Row 2 is A189145(n+2)
%Y A208108 Row 3 is A207730
%K A208108 nonn,tabl
%O A208108 1,1
%A A208108 _R. H. Hardin_ Feb 23 2012