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A222153 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 7

%I

%S 2,2,4,2,4,7,2,4,8,12,2,4,8,15,20,2,4,8,15,26,33,2,4,8,15,27,44,53,2,

%T 4,8,15,27,47,74,85,2,4,8,15,27,47,79,124,137,2,4,8,15,27,47,80,131,

%U 207,221,2,4,8,15,27,47,80,134,216,343,355,2,4,8,15,27,47,80,134,221,355,564,570

%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..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15

%C ..20..26..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27

%C ..33..44..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47

%C ..53..74..79..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80

%C ..85.124.131.134.134.134.134.134.134.134.134.134.134.134.134.134.134.134.134

%C .137.207.216.221.222.222.222.222.222.222.222.222.222.222.222.222.222.222.222

%C .221.343.355.362.365.365.365.365.365.365.365.365.365.365.365.365.365.365.365

%C .355.564.582.591.596.597.597.597.597.597.597.597.597.597.597.597.597.597.597

%C .570.924.952.963.970.973.973.973.973.973.973.973.973.973.973.973.973.973.973

%H R. H. Hardin, <a href="/A222153/b222153.txt">Table of n, a(n) for n = 1..4881</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....1....0....0....1....0....1....1....0....0....0....0....1....1

%e ..1....1....1....0....0....0....0....0....0....0....0....1....0....1....0....0

%e ..0....0....0....0....0....0....1....1....1....0....1....0....0....0....1....0

%e ..0....1....0....1....0....0....0....0....0....0....0....0....1....0....0....1

%e ..1....0....0....0....1....0....1....0....0....1....0....0....0....1....0....0

%e ..0....0....0....1....0....0....0....0....1....0....1....0....1....0....0....0

%e ..0....0....1....0....0....1....0....1....0....1....0....0....0....1....1....0

%e ..0....1....0....0....1....0....0....0....0....0....0....0....0....0....0....1

%e ..1....0....1....1....0....1....0....0....0....1....1....1....1....1....0....0

%Y Column 1 is A222036

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 09 2013

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Last modified October 21 21:25 EDT 2021. Contains 348155 sequences. (Running on oeis4.)