A082325 - OEIS

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A082325

Permutation of natural numbers: A057163-conjugate of A057511.

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

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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(A057511(A057163(n)))

CROSSREFS

Inverse of A082326. a(n) = A069787(A082326(A069787(n))). a(n) = A082327(A082853(n))+A082852(n). Occurs in A073200 as row 1792. Cf. also A082337-A082338.

Differs from A082342 first time at n=39: a(39)=49, while A082342(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: A082326 A082342 A130935 * A069787 A371592 A342383

Adjacent sequences: A082322 A082323 A082324 * A082326 A082327 A082328

KEYWORD

nonn

AUTHOR

Antti Karttunen, Apr 17 2003

STATUS

approved