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A127288 Signature-permutation of a Catalan automorphism: composition of A057508 and A127286. 7
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 28, 30, 33, 24, 29, 26, 31, 32, 27, 34, 35, 36, 37, 39, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 70, 67, 72, 75, 79, 81 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This automorphism permutes the top-level of a list of even length (1 ... 2n) as (1 3 5 2n-1 ... 2n 2n-2 ... 4 2) and when applied to a list of odd length (1 .. 2n+1), permutes it as (1 3 5 2n-1 2n+1 2n 2n-2 ... 4 2).

LINKS

Table of n, a(n) for n=0..71.

Index entries for signature-permutations of Catalan automorphisms

PROG

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

(define (*A127288! s) (*A057508! (*A127286! s)))

CROSSREFS

Inverse: A127287. a(n) = A057508(A127286(n)).

Sequence in context: A121603 A261333 A031086 * A127287 A239088 A162344

Adjacent sequences:  A127285 A127286 A127287 * A127289 A127290 A127291

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 16 2007

STATUS

approved

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Last modified October 16 13:51 EDT 2019. Contains 328093 sequences. (Running on oeis4.)