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%I #4 Feb 20 2013 09:51:13
%S 2,2,3,2,3,4,2,3,4,5,2,3,4,5,8,2,3,4,5,9,12,2,3,4,5,9,14,18,2,3,4,5,9,
%T 14,21,26,2,3,4,5,9,14,21,34,40,2,3,4,5,9,14,21,35,54,60,2,3,4,5,9,14,
%U 21,35,56,86,90,2,3,4,5,9,14,21,35,56,89,137,134,2,3,4,5,9,14,21,35,56,89,144
%N T(n,k)=Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..k array extended with zeros and convolved with 1,1,1
%C Table starts
%C ....2....2.....2.....2.....2.....2.....2.....2
%C ....3....3.....3.....3.....3.....3.....3.....3
%C ....4....4.....4.....4.....4.....4.....4.....4
%C ....5....5.....5.....5.....5.....5.....5.....5
%C ....8....9.....9.....9.....9.....9.....9.....9
%C ...12...14....14....14....14....14....14....14
%C ...18...21....21....21....21....21....21....21
%C ...26...34....35....35....35....35....35....35
%C ...40...54....56....56....56....56....56....56
%C ...60...86....89....89....89....89....89....89
%C ...90..137...144...145...145...145...145...145
%C ..134..219...232...234...234...234...234...234
%C ..202..350...374...377...377...377...377...377
%C ..303..558...603...610...611...611...611...611
%C ..454..892...973...986...988...988...988...988
%C ..680.1424..1570..1594..1597..1597..1597..1597
%C .1021.2273..2532..2577..2584..2585..2585..2585
%C .1532.3631..4086..4167..4180..4182..4182..4182
%C .2298.5799..6592..6738..6762..6765..6765..6765
%C .3447.9261.10635.10894.10939.10946.10947.10947
%H R. H. Hardin, <a href="/A222438/b222438.txt">Table of n, a(n) for n = 1..3855</a>
%e Some solutions for n=7 k=4, one extended zero followed by filtered positions
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....0....1....0....0....0....1....0....1....0....1....0....0....0....0
%e ..0....0....0....0....0....1....1....0....0....0....0....0....1....0....1....0
%e ..0....0....1....0....0....0....0....1....1....1....1....0....0....0....0....0
%e ..0....1....0....0....0....0....0....0....0....0....0....0....1....0....0....0
%e ..0....0....1....0....0....0....1....0....0....1....0....0....0....0....0....0
%e ..1....0....0....0....1....0....0....0....1....0....0....0....0....0....1....0
%e ..0....0....0....0....0....1....0....0....0....0....0....1....0....0....0....1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 20 2013
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