A222432 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 1,1,1

2, 3, 4, 5, 9, 14, 21, 34, 54, 86, 137, 219, 350, 558, 892, 1424, 2273, 3631, 5799, 9261, 14791, 23624, 37733, 60265, 96254, 153738, 245548, 392190, 626401, 1000486, 1597973, 2552272, 4076484, 6510937, 10399247, 16609636, 26528841, 42371765

Offset

1,1

Comments

Column 2 of A222438

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-4) +a(n-5) -3*a(n-6) +4*a(n-7) -4*a(n-8) +2*a(n-9) -2*a(n-10) +a(n-11) -2*a(n-12) +4*a(n-13) -6*a(n-14) +7*a(n-15) -6*a(n-16) +4*a(n-17) -a(n-18) -a(n-20) +4*a(n-21) -6*a(n-22) +6*a(n-23) -2*a(n-24) -a(n-25) +a(n-26) -a(n-28) +a(n-29) -a(n-30)

Example

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

Crossrefs

Sequence in context: A230769 A099472 A191321 * A222433 A222434 A222435

Adjacent sequences: A222429 A222430 A222431 * A222433 A222434 A222435

Keyword

nonn

Author

R. H. Hardin Feb 20 2013

Status

approved