A228459 Number of arrays of maxima of three adjacent elements of some length n+2 0..6 array.

7, 49, 252, 1036, 3703, 12453, 42386, 151882, 567835, 2147149, 8034340, 29610140, 108114007, 394245755, 1442791435, 5301606775, 19520651849, 71865418075, 264265863322, 970764224658, 3564641145009, 13091320557593, 48095042423647

Offset

1,1

Comments

Column 6 of A228461

Links

R. H. Hardin, Table of n, a(n) for n = 1..95

Formula

Empirical: a(n) = 7*a(n-1) -21*a(n-2) +35*a(n-3) -14*a(n-4) -14*a(n-5) +98*a(n-6) -6*a(n-7) +63*a(n-8) +151*a(n-9) +59*a(n-10) +107*a(n-11) +124*a(n-12) +60*a(n-13) +56*a(n-14) +44*a(n-15) +17*a(n-16) +9*a(n-17) +5*a(n-18) +a(n-19)

Example

Some solutions for n=4
..2....6....4....5....4....4....0....2....0....1....6....6....3....6....1....0
..5....3....2....0....0....2....0....3....0....1....0....2....0....3....1....2
..5....4....2....0....1....1....1....6....0....0....2....1....1....0....2....3
..6....4....2....6....3....6....4....6....3....6....3....0....6....3....5....4

Crossrefs

Sequence in context: A094430 A188561 A225013 * A203059 A203383 A293887

Adjacent sequences: A228456 A228457 A228458 * A228460 A228461 A228462

Keyword

nonn

Author

R. H. Hardin Aug 22 2013

Status

approved