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%I #19 Dec 31 2020 11:11:15
%S 2,4,6,8,12,14,20,22,28,32,38,40,48,50,56,64,74,76,86,88,98,106,112,
%T 114,126,132,138,146,160,162
%N a(n) is the total number of line segments in the diagram described in A236104 after n-th stage, with a(0) = 2.
%C Note that the diagram is also the top view of the stepped pyramid with n levels described in A245092.
%C For the construction of the diagram using Dyck paths and for more information about the pyramid see A237593.
%e Illustration of initial terms (n = 1..6):
%e . _ _ _ _
%e . _ _ _ |_ _ _ |_
%e . _ _ _ |_ _ _| |_ _ _| |_
%e . _ _ |_ _ |_ |_ _ |_ _ |_ _ |_ _ |
%e . _ _ |_ _|_ |_ _|_ | |_ _|_ | | |_ _|_ | | |
%e . _ |_ | |_ | | |_ | | | |_ | | | | |_ | | | | |
%e . |_| |_|_| |_|_|_| |_|_|_|_| |_|_|_|_|_| |_|_|_|_|_|_|
%e .
%e . 4 6 8 12 14 20
%Y Cf. A000203, A024916, A196020, A235791, A236104, A237048, A237270, A237271, A237590, A237591, A237593, A245092, A262626, A294723.
%K nonn,more
%O 0,1
%A _Omar E. Pol_, Nov 09 2017
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