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A207519 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207519 #7 Jul 22 2025 20:32:22
%S A207519 2,4,4,6,16,6,9,36,36,10,14,81,98,100,16,21,196,271,358,256,26,31,441,
%T A207519 834,1307,1152,676,42,46,961,2307,5458,5369,3910,1764,68,68,2116,6115,
%U A207519 19909,29622,23645,12994,4624,110,100,4624,16544,68807,137719,174224
%N A207519 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207519 Table starts
%C A207519 ..2....4.....6......9......14.......21........31.........46..........68
%C A207519 ..4...16....36.....81.....196......441.......961.......2116........4624
%C A207519 ..6...36....98....271.....834.....2307......6115......16544.......44250
%C A207519 .10..100...358...1307....5458....19909.....68807.....243954......851870
%C A207519 .16..256..1152...5369...29622...137719....600283....2713480....12034046
%C A207519 .26..676..3910..23645..174224..1048423...5849409...34086388...194127326
%C A207519 .42.1764.12994.101233..991184..7666319..54373655..406281454..2956097240
%C A207519 .68.4624.43596.439063.5723716.57113109.516879019.4964342828.46263548214
%H A207519 R. H. Hardin, <a href="/A207519/b207519.txt">Table of n, a(n) for n = 1..337</a>
%e A207519 Some solutions for n=4 k=3
%e A207519 ..0..0..0....0..0..0....0..1..1....1..1..0....1..0..0....0..0..0....1..1..1
%e A207519 ..0..0..0....0..0..0....1..0..0....0..0..0....1..0..1....0..1..1....1..1..1
%e A207519 ..1..0..1....0..0..0....1..0..0....0..0..0....1..0..1....1..1..1....1..1..1
%e A207519 ..1..0..1....1..1..1....1..1..0....0..1..1....1..0..1....1..0..0....1..1..1
%Y A207519 Column 1 is A006355(n+2)
%Y A207519 Column 2 is A206981
%Y A207519 Column 3 is A207462
%Y A207519 Column 4 is A207463
%Y A207519 Row 1 is A038718(n+2)
%Y A207519 Row 2 is A207069
%Y A207519 Row 3 is A207392
%K A207519 nonn,tabl
%O A207519 1,1
%A A207519 _R. H. Hardin_ Feb 18 2012