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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.
2
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
0,3
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.
FORMULA
a(n) = A293750(n)/2.
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Nov 09 2017
STATUS
approved