%N A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.
%C This one-to-one correspondence between all rooted plane trees and one node larger, root degree = 1 trees illustrates the fact that INVERT(A000108) = LEFT(A000108). (Catalan numbers shift left under Cameron's A transformation.)
%D P. J. Cameron, Some sequences of integers, Discrete Math., 75 (1989), 89-102; also in "Graph Theory and Combinatorics 1988", ed. B. Bollobas, Annals of Discrete Math., 43 (1989), 89-102.
%H <a href="/index/Ro#RootedTreePlanEncodings">Index entries for encodings of plane rooted trees</a>
%F a(n) = A014486(A057548(n)) and also from n > 0 onward = A079946(A014486(n)).
%F a(n) = alltrees2singletrunked(A014486[n]) (see Maple code below and in A057501).
%p alltrees2singletrunked := n -> pars2binexp([binexp2pars(n)]); # Just surround with extra parentheses.
%Y Double-trunked trees: A057517. Cf. also A057548, A057549.
%A _Antti Karttunen_ Sep 07 2000