A229713 Number of arrays of length n that are sums of 3 consecutive elements of length n+2 permutations of 0..n+1, and no two consecutive rises or falls in the latter permutation.

1, 8, 28, 82, 500, 2740, 15040, 100630, 704000, 5310960, 44616536

Offset

1,2

Comments

Column 3 of A229717.

Links

Table of n, a(n) for n=1..11.

Example

Some solutions for n=4:
   8  9  3 12  6  6 10  8  8  9 10  8  8  9  7  6
  12  8  8  9 11  9  9  6  9 12 12  9  3 11  6  7
   8 11  9  8  8  6  4 10  4  8  7 12  6  7 10  4
   7  6 12  3  9  9  5  7  7  6  5  7  7  6  8  9

Crossrefs

Sequence in context: A331757 A130129 A317032 * A212516 A005343 A200941

Adjacent sequences: A229710 A229711 A229712 * A229714 A229715 A229716

Keyword

nonn,more

Author

R. H. Hardin, Sep 27 2013

Status

approved