A294849 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A294849

a(n) is the total number of horizontal line segments that belong to the Dyck paths in the diagram of the symmetries of sigma described in A236104 and A237593 after n-th stage, with a(0) = 0.

0, 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 19, 23, 24, 27, 31, 36, 37, 42, 43, 48, 52, 55, 56, 62, 65, 68, 72, 79, 80

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Since the diagram is symmetrics a(n) is also the number of vertical line segments after n-th stage. For a diagram see A293750.

LINKS

Table of n, a(n) for n=0..29.

FORMULA

a(n) = A293750(n)/2.

CROSSREFS