A251422 Number of length n+2 0..2 arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero

9, 41, 97, 341, 1003, 3129, 9439, 28717, 86695, 261789, 788373, 2372693, 7133179, 21434717, 64377579, 193296317, 580236633, 1741470477, 5226041293, 15681654949, 47052540983, 141173946441, 423556852705, 1270745764685, 3812398439683

Offset

1,1

Comments

Column 2 of A251428

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +12*a(n-3) +36*a(n-4) -66*a(n-5) +25*a(n-6) +56*a(n-7) -58*a(n-8) -56*a(n-9) +63*a(n-10) +8*a(n-11) +54*a(n-12) -80*a(n-13) +24*a(n-14)

Example

Some solutions for n=9
..1....2....1....1....2....0....0....0....1....2....1....1....2....0....2....0
..0....2....1....1....0....1....0....2....0....1....1....2....2....1....1....1
..0....0....2....0....2....0....2....0....0....1....1....2....0....0....1....2
..1....0....1....2....0....2....1....1....2....1....2....1....1....0....1....0
..2....0....1....1....1....0....2....2....0....2....1....1....1....2....1....1
..2....1....0....0....2....1....1....2....0....1....1....1....2....2....0....2
..2....1....2....1....1....1....2....2....0....2....2....2....1....0....1....0
..1....2....2....2....1....0....1....2....2....0....1....0....1....1....0....1
..1....1....2....0....0....0....1....1....1....2....0....0....1....2....1....1
..1....2....2....0....1....2....1....1....1....0....0....0....0....1....2....0
..2....1....2....2....2....2....2....0....1....2....0....2....1....2....2....2

Crossrefs

Sequence in context: A000437 A095809 A273359 * A018836 A245932 A362293

Adjacent sequences: A251419 A251420 A251421 * A251423 A251424 A251425

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved