A082326 Permutation of natural numbers: A057163-conjugate of A057512.

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

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) = A057163(A057512(A057163(n)))

Crossrefs

Inverse of A082325. a(n) = A069787(A082325(A069787(n))). a(n) = A082328(A082853(n))+A082852(n). Occurs in A073200 as row 1794. Cf. also A082337-A082338.

Differs from A082341 first time at n=39: a(39)=49, while A082341(39)=48.

Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A082340 A082341 A130936 * A082342 A130935 A082325

Adjacent sequences: A082323 A082324 A082325 * A082327 A082328 A082329

Keyword

nonn

Author

Antti Karttunen, Apr 17 2003

Status

approved