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%I #23 Apr 11 2019 22:49:04
%S 1,2,3,5,7,9,11,15,17,19,23,27,29,31,35,39
%N Numbers k such that the largest Dyck path of the symmetric representation of sigma(k) does not share any line segment with the largest Dyck path of the symmetric representation of sigma(k+1).
%C Equivalently, numbers k such that in the perspective view of the stepped pyramid described in A245092, the steps of the n-th level do not share any vertical face with the steps of the level n + 1, starting from the top of the pyramid.
%C a(2) = 2 is the only even number in the sequence.
%C For more information about the Dyck paths, the connection with the sum of divisors function A000203, and the connection with the theory of partitions see A237593.
%Y Cf. A000203, A196020, A236104, A237270, A237271, A237591, A237593, A244145, A245092, A245192, A262626, A279029, A279244.
%K nonn,more
%O 1,2
%A _Omar E. Pol_, Apr 02 2019
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