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A082326 Permutation of natural numbers: A057163-conjugate of A057512. 6
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 21 17:07 EST 2019. Contains 319350 sequences. (Running on oeis4.)