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A208028 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

%I A208028 #7 Jul 22 2025 21:07:24
%S A208028 2,4,4,6,16,6,10,36,36,9,16,100,102,81,13,26,256,378,279,169,19,42,
%T A208028 676,1260,1377,741,361,28,68,1764,4374,5895,4823,1995,784,41,110,4624,
%U A208028 14946,26685,26845,17119,5404,1681,60,178,12100,51384,118179,158847,123709
%N A208028 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.
%C A208028 Table starts
%C A208028 ..2....4.....6.....10......16.......26........42.........68.........110
%C A208028 ..4...16....36....100.....256......676......1764.......4624.......12100
%C A208028 ..6...36...102....378....1260.....4374.....14946......51384......176238
%C A208028 ..9...81...279...1377....5895....26685....118179.....527913.....2350215
%C A208028 .13..169...741...4823...26845...158847....917293....5349227....31070195
%C A208028 .19..361..1995..17119..123709...955073...7184755...54606513...413322903
%C A208028 .28..784..5404..61292..574560..5788524..56728924..561913408..5542832148
%C A208028 .41.1681.14555.218243.2652823.34901455.445530887.5753550295.73969794325
%H A208028 R. H. Hardin, <a href="/A208028/b208028.txt">Table of n, a(n) for n = 1..763</a>
%e A208028 Some solutions for n=4 k=3
%e A208028 ..1..1..1....1..0..1....0..1..0....1..1..1....0..1..1....0..1..1....0..1..0
%e A208028 ..1..1..1....0..1..1....1..0..1....0..1..0....1..1..0....0..1..1....1..0..0
%e A208028 ..1..1..0....0..1..1....1..0..1....0..1..0....0..1..0....1..1..0....1..0..1
%e A208028 ..1..0..0....1..0..0....1..1..1....1..0..1....0..1..1....0..1..0....1..1..0
%Y A208028 Column 1 is A000930(n+3)
%Y A208028 Column 2 is A207170
%Y A208028 Row 1 is A006355(n+2)
%Y A208028 Row 2 is A206981
%Y A208028 Row 3 is A060521
%K A208028 nonn,tabl
%O A208028 1,1
%A A208028 _R. H. Hardin_ Feb 22 2012