cp's OEIS Frontend

A203407 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows and columns.

%I A203407 #7 Jul 22 2025 17:14:05
%S A203407 102,378,378,1260,2030,1260,4374,9484,9484,4374,14946,46746,60232,
%T A203407 46746,14946,51384,225654,408432,408432,225654,51384,176238,1098136,
%U A203407 2699464,3858082,2699464,1098136,176238,605022,5327258,18021052,35345798
%N A203407 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows and columns.
%C A203407 Table starts
%C A203407 .....102.......378........1260..........4374...........14946............51384
%C A203407 .....378......2030........9484.........46746..........225654..........1098136
%C A203407 ....1260......9484.......60232........408432.........2699464.........18021052
%C A203407 ....4374.....46746......408432.......3858082........35345798........327725888
%C A203407 ...14946....225654.....2699464......35345798.......446672706.......5723980832
%C A203407 ...51384...1098136....18021052.....327725888......5723980832.....101578277384
%C A203407 ..176238...5327258...119835492....3024430930.....72950746702....1791372199364
%C A203407 ..605022..25875154...798096928...27962750194....931753350314...31670053199428
%C A203407 .2076288.125619088..5312099836..258345914196..11890606324592..559357046066336
%C A203407 .7126302.609970274.35365379640.2387518651034.151793100413822.9883171811276912
%H A203407 R. H. Hardin, <a href="/A203407/b203407.txt">Table of n, a(n) for n = 1..160</a>
%e A203407 Some solutions for n=3 k=3
%e A203407 ..1..0..1..0..1....1..0..1..0..1....0..0..1..1..0....1..1..0..0..1
%e A203407 ..1..0..0..1..1....1..0..1..1..0....1..1..0..1..1....1..1..0..1..1
%e A203407 ..0..1..1..0..0....0..1..0..1..0....0..0..1..0..1....0..0..1..1..0
%e A203407 ..1..0..0..1..1....0..0..1..0..1....1..1..0..1..0....0..0..1..0..1
%e A203407 ..1..1..0..0..1....1..0..0..1..1....1..1..0..0..1....1..1..0..0..1
%Y A203407 Column 1 is A060521(n+2)
%Y A203407 Column 2 is A060522(n+2)
%K A203407 nonn,tabl
%O A203407 1,1
%A A203407 _R. H. Hardin_ Jan 01 2012