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A348854
a(n) is the total length of all line segments in an octant of the symmetric representation of sigma(n).
2
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.
FORMULA
a(n) = A348705(n)/2.
CROSSREFS
Cf. A005843 (upper bounds).
For illustrations see A348705.
Sequence in context: A345436 A225773 A233671 * A143346 A189010 A189221
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Nov 01 2021
STATUS
approved