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A207858 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207858 #7 Jul 22 2025 20:53:52
%S A207858 2,4,4,6,16,6,9,36,36,10,15,81,102,100,16,25,225,289,370,256,26,40,
%T A207858 625,1071,1369,1232,676,42,64,1600,3969,7289,5929,4238,1764,68,104,
%U A207858 4096,13230,38809,44121,26569,14406,4624,110,169,10816,44100,178088,328329
%N A207858 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207858 Table starts
%C A207858 ..2....4.....6......9.......15........25.........40..........64...........104
%C A207858 ..4...16....36.....81......225.......625.......1600........4096.........10816
%C A207858 ..6...36...102....289.....1071......3969......13230.......44100........153090
%C A207858 .10..100...370...1369.....7289.....38809.....178088......817216.......3976696
%C A207858 .16..256..1232...5929....44121....328329....2047902....12773476......85393582
%C A207858 .26..676..4238..26569...279219...2934369...24999522...212984836....1971051046
%C A207858 .42.1764.14406.117649..1737981..25674489..298294290..3465676900...44249929850
%C A207858 .68.4624.49164.522729.10873197.226171521.3584335104.56804048896.1001624438528
%H A207858 R. H. Hardin, <a href="/A207858/b207858.txt">Table of n, a(n) for n = 1..391</a>
%e A207858 Some solutions for n=4 k=3
%e A207858 ..0..1..1....0..0..1....0..1..1....0..0..1....0..1..1....1..1..1....0..0..1
%e A207858 ..0..1..1....0..1..1....1..1..0....0..0..1....1..0..0....1..1..0....0..0..1
%e A207858 ..0..1..1....0..1..1....1..1..0....1..0..1....1..0..0....1..0..0....1..1..1
%e A207858 ..0..1..1....0..1..1....1..0..1....1..0..0....1..1..0....1..0..1....1..1..0
%Y A207858 Column 1 is A006355(n+2)
%Y A207858 Column 2 is A206981
%Y A207858 Column 3 is A207249
%Y A207858 Row 1 is A006498(n+2)
%Y A207858 Row 2 is A189145(n+2)
%Y A207858 Row 3 is A207704
%K A207858 nonn,tabl
%O A207858 1,1
%A A207858 _R. H. Hardin_ Feb 21 2012