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A207808 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207808 #7 Jul 22 2025 20:51:50
%S A207808 2,4,4,6,16,6,10,36,36,10,16,100,102,100,16,26,256,378,370,256,26,42,
%T A207808 676,1260,1970,1232,676,42,68,1764,4374,9040,9168,4238,1764,68,110,
%U A207808 4624,14946,43990,57184,44538,14406,4624,110,178,12100,51384,209050,382288
%N A207808 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207808 Table starts
%C A207808 ..2....4.....6......10.......16........26.........42..........68...........110
%C A207808 ..4...16....36.....100......256.......676.......1764........4624.........12100
%C A207808 ..6...36...102.....378.....1260......4374......14946.......51384........176238
%C A207808 .10..100...370....1970.....9040.....43990.....209050.....1002960.......4793390
%C A207808 .16..256..1232....9168....57184....382288....2485392....16340928.....106947696
%C A207808 .26..676..4238...44538...379444...3511534...31431114...285153752....2572767886
%C A207808 .42.1764.14406..212814..2472540..31569510..388134978..4844843724...60105117534
%C A207808 .68.4624.49164.1022652.16206848.285774964.4829044276.82999241712.1416863447084
%H A207808 R. H. Hardin, <a href="/A207808/b207808.txt">Table of n, a(n) for n = 1..650</a>
%e A207808 Some solutions for n=4 k=3
%e A207808 ..0..1..0....0..1..1....0..1..0....1..0..0....1..1..0....1..1..0....0..1..1
%e A207808 ..0..1..1....1..1..0....0..1..1....0..1..1....1..1..0....0..1..0....0..1..1
%e A207808 ..0..1..1....1..1..0....1..1..1....0..1..1....1..0..0....0..1..1....0..1..0
%e A207808 ..0..1..0....0..1..0....1..0..0....1..1..1....1..0..1....1..0..1....0..1..0
%Y A207808 Column 1 is A006355(n+2)
%Y A207808 Column 2 is A206981
%Y A207808 Column 3 is A207249
%Y A207808 Row 1 is A006355(n+2)
%Y A207808 Row 2 is A206981
%Y A207808 Row 3 is A060521
%K A207808 nonn,tabl
%O A207808 1,1
%A A207808 _R. H. Hardin_ Feb 20 2012