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A130372 Signature permutation of a Catalan automorphism: apply *A074686 to the last subtree, if the root degree (A057515(n)) is odd. +0
4
0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 13, 14, 15, 16, 22, 21, 19, 17, 18, 20, 23, 24, 25, 27, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 64, 63, 47, 58, 59, 62, 51, 52, 53, 46, 45, 56, 48, 49, 50, 60, 54, 55, 57, 61, 65, 66, 67, 68, 69, 70, 71 (list; graph; listen)
OFFSET

0,3

LINKS

A. Karttunen, Table of n, a(n) for n = 0..2055

Index entries for signature-permutations of Catalan automorphisms

PROGRAM

(Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:)

(define (*A130372! s) (if (odd? (length s)) (*A074686! (car (last-pair s)))) s)

CROSSREFS

Inverse: A130371. a(n) = A074686(A130369(n)) = A074686(A130376(A074685(n))) = A130370(A130376(A130369(n))).

Adjacent sequences: A130369 A130370 A130371 this_sequence A130373 A130374 A130375

Sequence in context: A030555 A100708 A130371 this_sequence A089865 A089866 A089854

KEYWORD

nonn

AUTHOR

Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jun 05 2007

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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