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A222148 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,-2,1 1

%I

%S 2,4,8,15,27,47,79,131,216,355,582,952,1554,2531,4114,6679,10835,

%T 17568,28474,46136,74732,121021,195940,317190,513415,830965,1344839,

%U 2176388,3521960,5699251,9222308,14922891,24146832,39071752,63221132,102296095

%N Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,-2,1

%C Column 3 of A222153

%H R. H. Hardin, <a href="/A222148/b222148.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -14*a(n-2) +15*a(n-3) -5*a(n-4) -4*a(n-5) +4*a(n-6) +a(n-7) -12*a(n-8) +27*a(n-9) -25*a(n-10) +a(n-11) +14*a(n-12) -7*a(n-13) -3*a(n-15) +7*a(n-16) -13*a(n-17) +24*a(n-18) -21*a(n-19) +8*a(n-21) +6*a(n-22) -17*a(n-23) +13*a(n-24) -14*a(n-25) +21*a(n-26) -7*a(n-27) -11*a(n-28) +10*a(n-29) -7*a(n-30) +13*a(n-31) -17*a(n-32) -a(n-33) +16*a(n-34) -3*a(n-35) -4*a(n-36) -a(n-37) +3*a(n-38) +4*a(n-39) -13*a(n-40) +7*a(n-42) +a(n-43) +3*a(n-46) -2*a(n-47) -5*a(n-48) -a(n-49) +a(n-50) +a(n-51) +a(n-52) +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 ..1....0....0....0....0....0....1....1....1....1....1....0....0....1....1....0

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 09 2013

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Last modified January 23 21:56 EST 2022. Contains 350515 sequences. (Running on oeis4.)