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A294847
a(n) is the total number of line segments in the diagram described in A236104 after n-th stage, with a(0) = 2.
4
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.
EXAMPLE
Illustration of initial terms (n = 1..6):
. _ _ _ _
. _ _ _ |_ _ _ |_
. _ _ _ |_ _ _| |_ _ _| |_
. _ _ |_ _ |_ |_ _ |_ _ |_ _ |_ _ |
. _ _ |_ _|_ |_ _|_ | |_ _|_ | | |_ _|_ | | |
. _ |_ | |_ | | |_ | | | |_ | | | | |_ | | | | |
. |_| |_|_| |_|_|_| |_|_|_|_| |_|_|_|_|_| |_|_|_|_|_|_|
.
. 4 6 8 12 14 20
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Nov 09 2017
STATUS
approved