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R. H. Hardin, <a href="/A222147/b222147.txt">Table of n, a(n) for n = 1..210</a>

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

2, 4, 8, 15, 26, 44, 74, 124, 207, 343, 564, 924, 1510, 2463, 4010, 6517, 10576, 17148, 27789, 45016, 72900, 118024, 191038, 309180, 500343, 809659, 1310147, 2119943, 3430192, 5550177, 8980326, 14530332, 23510266, 38039809, 61548610, 99585874

1,1

Column 2 of A222153

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -4*a(n-6) +4*a(n-7) +2*a(n-8) -4*a(n-9) +a(n-11) +2*a(n-12) -7*a(n-13) +6*a(n-14) +2*a(n-15) -3*a(n-16) +a(n-17) -5*a(n-19) +2*a(n-20) +3*a(n-21) +2*a(n-23) -2*a(n-24) -3*a(n-25) +a(n-27) +a(n-28) +a(n-29)

Some solutions for n=7, one extended zero followed by filtered positions

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

..0....0....0....1....0....0....1....1....0....1....1....0....1....1....0....1

..0....0....0....0....0....1....0....0....0....0....0....0....0....0....1....0

..0....1....1....0....0....0....0....1....0....0....1....1....1....1....0....0

..1....0....0....0....1....1....1....0....1....1....0....0....0....0....0....1

..0....1....0....1....0....0....0....0....0....0....0....0....1....0....0....0

..1....0....0....0....1....0....0....0....0....0....1....1....0....0....1....1

..0....0....1....1....0....0....0....1....1....1....0....0....1....0....0....0

..1....0....0....0....0....1....1....0....0....0....0....0....0....1....0....1

..0....1....1....0....1....0....0....0....1....0....0....0....0....0....0....0

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R. H. Hardin Feb 09 2013

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