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%I #2 Mar 31 2012 13:21:13
%S 1,1,1,3,6,13,30,125,223,719,4866,12916,51495,153945
%N Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A125987/A125988.
%C The size of a largest orbit to which the square of Vaille's automorphism partitions the set of A000108(n) Dyck paths of semilength n.
%Y For n>0, it seems that A126292(2n) = 2*a(2n).
%K nonn
%O 0,4
%A _Antti Karttunen_, Jan 02 2007