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%I #4 Feb 03 2013 07:21:54
%S 2,3,4,6,10,15,24,39,60,96,154,240,383,611,963,1532,2436,3857,6128,
%T 9730,15428,24501,38888,61702,97958,155466,246729,391651,621589,
%U 986541,1565900,2485297,3944577,6260870,9936989,15771762,25032762,39731223
%N Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,4,6,4,1
%C Column 4 of A221999
%H R. H. Hardin, <a href="/A221995/b221995.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-3) +a(n-6) +3*a(n-8) -a(n-10) +a(n-11) -2*a(n-12) +a(n-14) -3*a(n-15) -3*a(n-16) -4*a(n-17) -4*a(n-19) -2*a(n-20) +a(n-21) -9*a(n-22) +3*a(n-23) +3*a(n-24) -a(n-25) +4*a(n-26) +a(n-27) +3*a(n-28) +2*a(n-29) +4*a(n-30) +6*a(n-31) -3*a(n-32) +2*a(n-33) +3*a(n-34) +3*a(n-36) -2*a(n-37) +3*a(n-38) -a(n-40) +5*a(n-41) -4*a(n-42) -a(n-43) +a(n-44) -3*a(n-45) -3*a(n-47) -5*a(n-50) +2*a(n-51) -2*a(n-53) +a(n-54)
%e Some solutions for n=7, 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 ..0....0....0....1....0....0....0....0....1....0....0....1....0....0....0....1
%e ..0....0....0....0....1....1....0....1....0....1....1....0....0....0....1....0
%e ..0....1....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....1....1....1....1....0....0....0....0....0....0....0....0....1....1
%e ..0....0....0....0....0....0....0....0....0....0....1....0....1....0....0....0
%e ..1....0....0....0....1....0....0....1....0....0....0....1....0....1....0....0
%e ..0....1....0....0....0....1....0....0....1....1....0....0....0....0....0....1
%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
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 03 2013
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