A082316 Permutation A057502 applied twice ("squared").

0, 1, 2, 3, 4, 8, 5, 7, 6, 9, 21, 10, 20, 19, 11, 22, 12, 17, 16, 13, 18, 14, 15, 23, 58, 24, 57, 56, 25, 59, 26, 54, 53, 27, 55, 51, 52, 28, 62, 29, 61, 60, 30, 63, 31, 45, 44, 32, 46, 42, 43, 33, 64, 34, 48, 47, 35, 49, 37, 38, 36, 50, 39, 40, 41, 65, 170, 66, 169, 168

Offset: 0

Author

Antti Karttunen, Apr 17 2003, Proposed by Wouter Meeussen

Keywords

• nonn

Links

• A. Karttunen, Gatomorphisms (with the complete Scheme source)
• Index entries for signature-permutations induced by Catalan automorphisms

Crossrefs

Inverse of A082315. a(n) = A057164(A082313(n)). Occurs in A073200 as row 549755978251. Cf. also A082317-A082324.

Number of cycles: A054357. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Formula

a(n) = A057502(A057502(n))