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A089865 Permutation of natural numbers induced by the gatomorphism gma089865 acting on the parenthesizations/binary trees encoded by A014486/A063171. +0
7
0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 13, 14, 15, 19, 20, 21, 16, 22, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 51, 52, 53, 54, 55, 56, 57, 58, 59, 42, 43, 60, 61, 62, 44, 63, 45, 46, 47, 64, 48, 49, 50, 65, 66, 67, 68, 69 (list; graph; listen)
OFFSET

0,3

COMMENT

This gatomorphism arises when we apply the gatomorphism A074679 to the left subtree, and keep the right subtree intact.

LINKS

A. Karttunen, C-program for computing this sequence

Index entries for signature-permutations induced by Catalan automorphisms

PROGRAM

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

(define (gma089865! s) (if (pair? s) (gma074679! (car s))) s)

CROSSREFS

Inverse of A089866. Row 4207 of A089840.

Number of cycles: A089844. Number of fixed-points: A005807 (prepended with two 1's). Max. cycle size: A089410. LCM of cycle sizes: A089845. (In range [A014137(n-1)..A014138(n-1)] of this permutation).

Sequence in context: A100708 A130371 A130372 this_sequence A089866 A089854 A131173

Adjacent sequences: A089862 A089863 A089864 this_sequence A089866 A089867 A089868

KEYWORD

nonn

AUTHOR

Antti Karttunen (Firstname.Surname(AT)iki.fi), Dec 20 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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