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A085167 Permutation of natural numbers induced by the Catalan bijection gma085167 acting on symbolless S-expressions encoded by A014486/A063171. 1
0, 1, 3, 2, 5, 8, 7, 4, 6, 10, 13, 15, 18, 22, 12, 21, 17, 9, 11, 20, 14, 16, 19, 24, 27, 29, 32, 36, 38, 41, 43, 46, 50, 52, 55, 59, 64, 26, 35, 40, 49, 63, 31, 58, 45, 23, 25, 48, 28, 30, 33, 34, 62, 54, 37, 39, 57, 42, 44, 47, 61, 51, 53, 56, 60, 66, 69, 71, 74, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

A. Karttunen, Gatomorphisms (With the complete Scheme source)

Index entries for signature-permutations induced by Catalan automorphisms

PROG

(Scheme function implementing this automorphism on list-structures:)

(define (gma085167! s) (cond ((null? s) s) (else (app-to-xrt! (cdr s) (append! (car s) (list (list)))))))

CROSSREFS

Inverse: A085168. a(n) = A085159(A069770(n)). Occurs in A073200. Cf. also A074679, A074680, A085203.

Number of cycles in range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right: A001683. [To be checked.].

Sequence in context: A189951 A209776 A019594 * A127299 A342138 A029619

Adjacent sequences:  A085164 A085165 A085166 * A085168 A085169 A085170

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 23 2003

STATUS

approved

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Last modified October 27 11:37 EDT 2021. Contains 348276 sequences. (Running on oeis4.)