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%I #4 Feb 06 2013 06:07:12
%S 2,2,4,2,4,7,2,4,8,12,2,4,8,14,20,2,4,8,15,24,33,2,4,8,15,27,40,53,2,
%T 4,8,15,27,46,66,85,2,4,8,15,27,47,77,108,137,2,4,8,15,27,47,79,127,
%U 176,221,2,4,8,15,27,47,80,131,208,286,355,2,4,8,15,27,47,80,133,215,339,464,570
%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 -1,2,-1
%C Table starts
%C ...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2
%C ...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4
%C ...7...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8
%C ..12..14..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15
%C ..20..24..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27
%C ..33..40..46..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47
%C ..53..66..77..79..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80
%C ..85.108.127.131.133.134.134.134.134.134.134.134.134.134.134.134.134.134.134
%C .137.176.208.215.219.222.222.222.222.222.222.222.222.222.222.222.222.222.222
%C .221.286.339.351.358.364.365.365.365.365.365.365.365.365.365.365.365.365.365
%C .355.464.551.571.583.594.596.597.597.597.597.597.597.597.597.597.597.597.597
%C .570.752.894.927.947.966.970.972.973.973.973.973.973.973.973.973.973.973.973
%H R. H. Hardin, <a href="/A222043/b222043.txt">Table of n, a(n) for n = 1..4129</a>
%e Some solutions for n=7 k=4, one extended zero followed by filtered positions
%e ..0....1....0....0....0....1....0....0....1....1....0....0....1....0....0....0
%e ..0....0....0....0....1....0....0....1....0....0....1....0....0....0....0....1
%e ..0....0....1....1....0....0....0....0....0....0....0....0....1....1....0....0
%e ..1....1....0....0....0....0....0....0....0....0....1....0....0....0....0....0
%e ..0....0....1....0....1....0....0....0....1....0....0....0....1....0....0....1
%e ..0....1....0....1....0....1....0....0....0....0....0....0....0....1....1....0
%e ..1....0....0....0....1....0....0....1....0....1....1....1....1....0....0....0
%e ..0....0....1....0....0....0....0....0....0....0....0....0....0....0....0....1
%e ..1....0....0....1....0....0....0....1....0....1....0....1....0....0....1....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 06 2013
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