cp's OEIS Frontend

A208013 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208013 #7 Jul 22 2025 21:06:34
%S A208013 2,4,4,6,16,6,9,36,36,9,13,81,90,81,12,19,169,261,225,144,16,28,361,
%T A208013 624,841,420,256,20,41,784,1482,2304,1943,784,400,25,60,1681,3808,
%U A208013 6084,5952,4489,1260,625,30,88,3600,9512,18496,16224,15376,8643,2025,900,36,129
%N A208013 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208013 Table starts
%C A208013 ..2...4....6.....9....13.....19.....28......41.......60.......88.......129
%C A208013 ..4..16...36....81...169....361....784....1681.....3600.....7744.....16641
%C A208013 ..6..36...90...261...624...1482...3808....9512....23280....58080....144996
%C A208013 ..9..81..225...841..2304...6084..18496...53824...150544...435600...1263376
%C A208013 .12.144..420..1943..5952..16224..55624..181192...545140..1737120...5591900
%C A208013 .16.256..784..4489.15376..43264.167281..609961..1974025..6927424..24750625
%C A208013 .20.400.1260..8643.32860..92560.393049.1578401..5340405.20121640..78251775
%C A208013 .25.625.2025.16641.70225.198025.923521.4084441.14447601.58446025.247401441
%H A208013 R. H. Hardin, <a href="/A208013/b208013.txt">Table of n, a(n) for n = 1..884</a>
%e A208013 Some solutions for n=4 k=3
%e A208013 ..0..1..1....1..0..0....1..0..0....1..0..0....1..0..0....0..0..1....0..1..0
%e A208013 ..1..1..0....0..0..1....1..1..0....0..1..0....0..1..1....0..1..0....1..1..0
%e A208013 ..0..1..1....1..0..0....1..0..0....1..0..0....1..0..0....0..0..1....0..1..0
%e A208013 ..1..0..0....0..0..1....0..1..0....0..1..0....0..0..1....0..1..0....1..0..0
%Y A208013 Column 1 is A002620(n+2)
%Y A208013 Column 2 is A030179(n+2)
%Y A208013 Column 3 is A207363
%Y A208013 Row 1 is A000930(n+3)
%Y A208013 Row 2 is A207170
%Y A208013 Row 3 is A207171
%K A208013 nonn,tabl
%O A208013 1,1
%A A208013 _R. H. Hardin_ Feb 22 2012