%I #10 Jan 30 2024 08:23:22
%S 0,12,204,240,3276,3312,3852,3888,4032,52428,52464,53004,53040,53184,
%T 61644,61680,62220,62256,62400,64524,64560,64704,65280,838860,838896,
%U 839436,839472,839616,848076,848112,848652,848688,848832,850956,850992
%N A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed.
%C Subset of totally balanced binary strings (A014486) with only even runs of either bit 0 or 1 occurring. See A083933.
%H <a href="/index/Ro#RootedTreePlanEncodings">Index entries for encodings of plane rooted trees</a>
%F a(n) = A008585(A083931(n)), i.e. 3*A083931(n).
%Y Same sequence in binary: A083933, indices to A014486: A083934.
%Y Permutation of A080316 from which this differs first time at the sixth term, with a(6)=3852, while A080316(6)=4032.
%K nonn
%O 0,2
%A _Antti Karttunen_, May 13 2003