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

Offset: 0

Author

Omar E. Pol, Nov 09 2017

Keywords

• nonn
• more

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.

Crossrefs

Cf. A000203, A196020, A235791, A236104, A237048, A237591, A237593, A245092, A293750, A294847, A294848.

Formula

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