A228458 Number of arrays of maxima of three adjacent elements of some length n+2 0..5 array.

6, 36, 161, 581, 1847, 5615, 17487, 57303, 194064, 659418, 2212695, 7329603, 24138450, 79571792, 263302273, 873867641, 2902730184, 9635417630, 31950864559, 105883279595, 350872561227, 1163005850963, 3855906404239, 12785544028311

Offset

1,1

Comments

Column 5 of A228461

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical: a(n) = 6*a(n-1) -15*a(n-2) +20*a(n-3) -14*a(n-5) +49*a(n-6) +8*a(n-7) +15*a(n-8) +54*a(n-9) +21*a(n-10) +20*a(n-11) +26*a(n-12) +10*a(n-13) +5*a(n-14) +4*a(n-15) +a(n-16)

Example

Some solutions for n=4
..5....4....4....5....3....1....4....4....3....0....5....1....4....5....5....4
..2....2....3....5....3....2....0....0....3....1....2....1....4....3....0....0
..4....3....0....4....1....3....2....3....3....1....0....3....4....4....0....0
..4....4....3....1....3....3....4....4....2....5....3....3....4....4....2....3

Crossrefs

Sequence in context: A371157 A371197 A225012 * A203050 A203332 A351783

Adjacent sequences: A228455 A228456 A228457 * A228459 A228460 A228461

Keyword

nonn

Author

R. H. Hardin Aug 22 2013

Status

approved