A379999 Number of longest sequences over {0,1,...,n-1} containing no two consecutive blocks with the same average.

1, 2, 8, 6, 38, 2, 12, 8, 2

Offset

1,2

Comments

a(n) is the last element of row n in A379998.

The sequences counted by a(n) have length A379914(n).

a(n) is even for all n >= 2, because each term x in a sequence can be replaced by n-1-x, giving another sequence of maximum length.

Links

Table of n, a(n) for n=1..9.

Example

For 1 <= n <= 4, the following sequences are counted:
  n | longest sequences
  --+-----------------------------------------------------
  1 | 0
  2 | 010, 101
  3 | 010, 012, 020, 101, 121, 202, 210, 212
  4 | 0203202, 1310131, 1310313, 2023020, 2023202, 3130131

Crossrefs

Cf. A379914, A379998, A380000.

Sequence in context: A370925 A085590 A079538 * A098221 A343101 A334519

Adjacent sequences: A379996 A379997 A379998 * A380000 A380007 A380014

Keyword

nonn,more,new

Author

Pontus von Brömssen, Jan 09 2025

Status

approved