A082314 Involution of natural numbers: A057502-conjugate of A057164.

0, 1, 2, 3, 4, 5, 8, 7, 6, 9, 11, 10, 12, 13, 21, 22, 20, 17, 18, 19, 16, 14, 15, 23, 28, 25, 30, 33, 24, 29, 26, 31, 34, 27, 32, 35, 36, 58, 62, 59, 63, 64, 57, 61, 54, 45, 48, 55, 46, 49, 50, 56, 60, 53, 44, 47, 51, 42, 37, 39, 52, 43, 38, 40, 41, 65, 79, 70, 84, 93

Offset

0,3

Links

Table of n, a(n) for n=0..69.

Index entries for signature-permutations induced by Catalan automorphisms

Formula

a(n) = A057502(A057164(A057501(n)))

Crossrefs

a(n) = A057502(A069889(n)). Occurs in A073200 as row 2361759710983228099211. Cf. also A082313.

Number of cycles: A007123. Number of fixed-points: A001405. Max. cycle size: A046698. LCM of cycle sizes: A046698. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A122292 A130351 A130352 * A249811 A246676 A246678

Adjacent sequences: A082311 A082312 A082313 * A082315 A082316 A082317

Keyword

nonn

Author

Antti Karttunen, Apr 17 2003

Status

approved