|
%I #4 Feb 09 2013 17:54:33
%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
|
