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A208420 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically.

%I A208420 #7 Jul 22 2025 21:21:05
%S A208420 2,4,4,6,16,6,10,36,36,9,16,100,102,81,13,26,256,378,261,169,18,42,
%T A208420 676,1260,1269,611,324,25,68,1764,4374,5139,3835,1278,625,34,110,4624,
%U A208420 14946,22509,18395,10098,2625,1156,46,178,12100,51384,95265,100113,55404,26375
%N A208420 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically.
%C A208420 Table starts
%C A208420 ..2....4....6....10.....16......26.......42........68........110.........178
%C A208420 ..4...16...36...100....256.....676.....1764......4624......12100.......31684
%C A208420 ..6...36..102...378...1260....4374....14946.....51384.....176238......605022
%C A208420 ..9...81..261..1269...5139...22509....95265....409239....1746639.....7475751
%C A208420 .13..169..611..3835..18395..100113...512525...2702193...14044303....73505289
%C A208420 .18..324.1278.10098..55404..365094..2187162..13759164...84389022...524422458
%C A208420 .25..625.2625.26375.161975.1297475..8948825..67061525..479579725..3521095775
%C A208420 .34.1156.5134.65178.440436.4270706.33334858.295643872.2428615750.20882937190
%H A208420 R. H. Hardin, <a href="/A208420/b208420.txt">Table of n, a(n) for n = 1..928</a>
%e A208420 Some solutions for n=4 k=3
%e A208420 ..1..0..1....1..0..0....1..1..1....1..1..1....1..1..0....0..1..0....0..1..0
%e A208420 ..1..0..0....0..1..1....1..1..0....1..1..1....0..1..0....0..1..1....0..1..1
%e A208420 ..0..1..1....1..0..0....1..0..1....1..1..1....1..0..1....1..1..0....1..0..0
%e A208420 ..1..0..0....0..1..1....1..1..0....1..1..1....0..1..0....0..1..0....0..1..0
%Y A208420 Column 1 is A171861(n+1)
%Y A208420 Column 2 is A207025
%Y A208420 Column 3 is A207903
%Y A208420 Row 1 is A006355(n+2)
%Y A208420 Row 2 is A206981
%Y A208420 Row 3 is A060521
%K A208420 nonn,tabl
%O A208420 1,1
%A A208420 _R. H. Hardin_ Feb 26 2012