A348854 a(n) is the total length of all line segments in an octant of the symmetric representation of sigma(n).

2, 4, 6, 8, 9, 12, 12, 16, 17, 20, 18, 24, 21, 27, 28, 32, 27, 36, 30, 40, 39, 41, 36, 48, 42, 48, 49, 56, 45, 60, 48, 64

Offset

1,1

Comments

One half of the total length of all line segments of the symmetric representation of sigma(n).

If the symmetric representation of sigma(n) has only one part (cf. A174973) or if it has two parts and they meet at the center of the Dyck path (cf. A262259) then a(n) = 2*n, otherwise a(n) < 2*n. In other words: if n is a term of A279029 then a(n) = 2*n, otherwise a(n) < 2*n.

Links

Table of n, a(n) for n=1..32.

Formula

a(n) = A348705(n)/2.

Crossrefs

Cf. A005843 (upper bounds).

For illustrations see A348705.

Cf. A174973, A235791, A236104, A237270, A237271, A237591, A237593, A238443, A239660, A239931-A239934, A245092, A262259, A279029.

Sequence in context: A345436 A225773 A233671 * A143346 A189010 A189221

Adjacent sequences: A348851 A348852 A348853 * A348855 A348856 A348857

Keyword

nonn,more

Author

Omar E. Pol, Nov 01 2021

Status

approved