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A207088 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically.

%I A207088 #7 Jul 22 2025 20:00:55
%S A207088 2,4,4,7,16,7,13,49,49,12,24,169,241,144,20,44,576,1393,1117,400,33,
%T A207088 81,1936,7915,10621,4891,1089,54,149,6561,44065,98824,75221,20953,
%U A207088 2916,88,274,22201,248525,894720,1128580,518001,88465,7744,143,504,75076,1398065
%N A207088 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically.
%C A207088 Table starts
%C A207088 ..2....4......7.......13.........24..........44............81.............149
%C A207088 ..4...16.....49......169........576........1936..........6561...........22201
%C A207088 ..7...49....241.....1393.......7915.......44065........248525.........1398065
%C A207088 .12..144...1117....10621......98824......894720.......8244759........75709453
%C A207088 .20..400...4891....75221....1128580....16421568.....243794389......3604761693
%C A207088 .33.1089..20953...518001...12462017...289951889....6897033117....163328551845
%C A207088 .54.2916..88465..3500117..134515416..4992838052..189659424011...7170730063393
%C A207088 .88.7744.370753.23428181.1435875920.84911938560.5142718466575.309962689144609
%H A207088 R. H. Hardin, <a href="/A207088/b207088.txt">Table of n, a(n) for n = 1..338</a>
%e A207088 Some solutions for n=4 k=3
%e A207088 ..0..1..1....0..1..0....1..1..1....1..0..0....1..1..0....0..0..1....1..0..0
%e A207088 ..0..1..1....1..0..0....1..1..1....0..0..1....0..0..1....1..0..0....1..0..1
%e A207088 ..0..1..1....1..0..0....0..1..0....1..0..1....1..1..1....0..0..1....1..0..1
%e A207088 ..0..1..1....1..0..0....0..1..0....0..0..1....1..0..0....0..0..1....1..0..1
%Y A207088 Column 1 is A000071(n+3)
%Y A207088 Column 2 is A188516
%Y A207088 Row 1 is A000073(n+3)
%Y A207088 Row 2 is A085697(n+1)
%K A207088 nonn,tabl
%O A207088 1,1
%A A207088 _R. H. Hardin_ Feb 15 2012