A071669 Permutation A057505 applied six times, permutation A071661 cubed, permutation A071663 squared.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 48, 35, 36, 37, 38, 39, 34, 41, 42, 40, 44, 45, 46, 43, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71

Offset: 0

Author

Antti Karttunen, May 30 2002

Keywords

• nonn

Comments

Inverse permutation: A071670 and also its car/cdr-flipped conjugate. See formulas.

Links

• Robert Donaghey, Automorphisms on Catalan trees and bracketing, J. Combin. Theory, Series B, 29 (1980), 75-90.
• Antti Karttunen, On the fixed points of A071661, OEIS Wiki, notes concerning this and related sequences. See especially at the end.
• Antti Karttunen, Gatomorphisms (Includes the complete Scheme source for computing this sequence).
• Index entries for sequences that are permutations of the natural numbers.

Crossrefs

Cf. A057163, A057505, A071661, A071663, A071665, A071667, A071669, A071670.

Formula

a(n) = A057163(A071670(A057163(n))) = A057505(A071667(n)) = A071661(A071661(A071661(n))) = A071663(A071663(n)).