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%I #39 Jul 23 2018 02:46:33
%S 0,2,4,6,10,12,18,20,26,30,36,38,46,48,54,62,72,74,84,86,96,104,110,
%T 112,124,130,136,144,158,160
%N a(n) is the total number of 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.
%F a(n) = A294847(n) - 2.
%e Illustration of initial terms (n = 1..6):
%e . _ _ _ _
%e . _ _ _ _ _ _ |_
%e . _ _ _ _ _ _| _ _ _| |_
%e . _ _ _ _ |_ _ _ |_ _ _ _ |_ _ |
%e . _ _ _ _|_ _ _|_ | _ _|_ | | _ _|_ | | |
%e . _ _ | _ | | _ | | | _ | | | | _ | | | | |
%e . | | | | | | | | | | | | | | | | | | | | |
%e .
%e . 2 4 6 10 12 18
%e .
%Y Cf. A000203, A024916, A196020, A235791, A236104, A237048, A237270, A237271, A237590, A237591, A237593, A245092, A262626, A294723, A294847.
%K nonn,more
%O 0,2
%A _Omar E. Pol_, Nov 09 2017
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