A080968 - OEIS

%I #5 Jan 11 2024 09:40:03

%S 1,1,2,2,3,3,3,6,6,6,6,6,6,3,2,3,5,3,5,5,5,5,3,3,2,3,6,24,24,24,24,6,

%T 24,24,24,6,24,24,24,24,24,24,24,24,24,24,6,24,24,24,24,24,6,24,24,6,

%U 3,18,9,24,18,18,9,18,9,18,18,3,24,15,15,24,24,18,15,15,24,3,24,24,15,15,24

%N Orbit size of each branch-reduced tree encoded by A080981(n) under Donaghey's "Map M" Catalan automorphism.

%C This is the size of the cycle containing A080980(n) in the permutations A057505/A057506.

%C If the conjecture given in A080070 is true, then this sequence contains only six 2's. Questions: are there any (other) values with finite number of occurrences? Which primes will eventually appear?

%F a(n) = A080967(A080980(n))

%Y Cf. A080969, A080972.

%K nonn

%O 0,3

%A _Antti Karttunen_, Mar 02 2003