A294847 a(n) is the total number of line segments in the diagram described in A236104 after n-th stage, with a(0) = 2.

2, 4, 6, 8, 12, 14, 20, 22, 28, 32, 38, 40, 48, 50, 56, 64, 74, 76, 86, 88, 98, 106, 112, 114, 126, 132, 138, 146, 160, 162

Offset

0,1

Comments

Note that the diagram is also the top view of the stepped pyramid with n levels described in A245092.

For the construction of the diagram using Dyck paths and for more information about the pyramid see A237593.

Links

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

Example

Illustration of initial terms (n = 1..6):
.                                                      _ _ _ _
.                                        _ _ _        |_ _ _  |_
.                            _ _ _      |_ _ _|       |_ _ _|   |_
.                  _ _      |_ _  |_    |_ _  |_ _    |_ _  |_ _  |
.          _ _    |_ _|_    |_ _|_  |   |_ _|_  | |   |_ _|_  | | |
.    _    |_  |   |_  | |   |_  | | |   |_  | | | |   |_  | | | | |
.   |_|   |_|_|   |_|_|_|   |_|_|_|_|   |_|_|_|_|_|   |_|_|_|_|_|_|
.
.    4      6        8          12           14             20

Crossrefs

Cf. A000203, A024916, A196020, A235791, A236104, A237048, A237270, A237271, A237590, A237591, A237593, A245092, A262626, A294723.

Sequence in context: A214294 A233578 A057220 * A082742 A131197 A078327

Adjacent sequences: A294844 A294845 A294846 * A294848 A294849 A294850

Keyword

nonn,more

Author

Omar E. Pol, Nov 09 2017

Status

approved