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A221995
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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
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1
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2, 3, 4, 6, 10, 15, 24, 39, 60, 96, 154, 240, 383, 611, 963, 1532, 2436, 3857, 6128, 9730, 15428, 24501, 38888, 61702, 97958, 155466, 246729, 391651, 621589, 986541, 1565900, 2485297, 3944577, 6260870, 9936989, 15771762, 25032762, 39731223
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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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)
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EXAMPLE
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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....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....1....0....0....0....0....1....0....0....1....0....0....0....1
..0....0....0....0....1....1....0....1....0....1....1....0....0....0....1....0
..0....1....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....1....1....1....0....0....0....0....0....0....0....0....1....1
..0....0....0....0....0....0....0....0....0....0....1....0....1....0....0....0
..1....0....0....0....1....0....0....1....0....0....0....1....0....1....0....0
..0....1....0....0....0....1....0....0....1....1....0....0....0....0....0....1
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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