%I #5 Aug 03 2017 00:41:22
%S 10,44,50,180,184,204,210,226,724,728,740,744,752,820,824,844,850,866,
%T 908,914,930,962,2900,2904,2916,2920,2928,2964,2968,2980,2984,2992,
%U 3012,3016,3024,3040,3284,3288,3300,3304,3312,3380,3384,3404,3410,3426
%N Binary encodings of the Catalan mountain ranges with exactly one sea-level valley, i.e., the rooted plane trees with root degree = 2.
%C This bijective mapping from all rooted plane trees to one node larger, root degree = 2 trees illustrates the fact that CONV(A000108, A000108) = LEFT(A000108). (Catalan numbers shift left under convolution).
%F a(n) = alltrees2doubletrunked(A014486(n)) (Starting from n=1).
%p alltrees2doubletrunked := n -> pars2binexp(alltrees2doubletrunkedP(binexp2pars(n)));
%p alltrees2doubletrunkedP := h -> [car(h),cdr(h)];
%Y Cf. A057501 (for binexp2pars, pars2binexp, car, cdr), A057518, A057519, A057122. Single-trunked trees: A057547.
%K nonn
%O 1,1
%A _Antti Karttunen_, Sep 03 2000