A080968 - OEIS

A080968

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

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, 24, 24, 24, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 24, 24, 24, 24, 24, 6, 24, 24, 6, 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

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OFFSET

0,3

COMMENTS

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

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?

LINKS

Table of n, a(n) for n=0..82.

FORMULA

a(n) = A080967(A080980(n))

CROSSREFS

Cf. A080969, A080972.

Sequence in context: A169618 A175454 A157501 * A115733 A025496 A099959

Adjacent sequences: A080965 A080966 A080967 * A080969 A080970 A080971

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 02 2003

STATUS

approved