A251929 Number of length n+2 0..2 arrays with the sum of the maximum minus the median of adjacent triples multiplied by some arrangement of +-1 equal to zero

12, 43, 115, 339, 1047, 3185, 9614, 28997, 87432, 263315, 792052, 2380535, 7151068, 21473847, 64465845, 193491115, 580670152, 1742425277, 5228150762, 15686292673, 47062736335, 141196283037, 423605734627, 1270852497809, 3812631196199

Offset

1,1

Comments

Column 2 of A251935

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -43*a(n-2) +112*a(n-3) -212*a(n-4) +314*a(n-5) -371*a(n-6) +366*a(n-7) -292*a(n-8) +172*a(n-9) -78*a(n-10) +2*a(n-11) +25*a(n-12) -16*a(n-13) +12*a(n-14) for n>17

Example

Some solutions for n=6
..0....2....1....0....0....0....1....0....1....2....1....0....0....2....1....0
..0....2....2....1....2....1....2....0....2....1....2....2....2....2....2....2
..1....1....2....2....1....2....0....2....1....2....2....1....0....2....0....1
..0....0....1....1....2....1....0....1....0....0....2....1....2....2....1....1
..1....0....2....0....1....1....0....0....2....0....0....2....2....1....1....1
..0....2....1....2....2....2....1....1....1....2....0....2....0....0....1....1
..2....2....2....2....1....2....2....0....0....0....2....1....1....1....1....0
..0....1....1....1....1....1....0....2....0....1....2....1....2....2....1....1

Crossrefs

Sequence in context: A003357 A004466 A062749 * A004636 A136279 A012471

Adjacent sequences: A251926 A251927 A251928 * A251930 A251931 A251932

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved