A130370 Signature permutation of a Catalan automorphism: inverse of *A130369.

0, 1, 3, 2, 7, 8, 4, 5, 6, 17, 18, 20, 21, 22, 10, 9, 11, 12, 13, 14, 15, 16, 19, 45, 46, 48, 49, 50, 54, 55, 57, 58, 59, 61, 62, 63, 64, 26, 27, 23, 24, 25, 29, 28, 30, 31, 32, 33, 34, 35, 36, 38, 37, 39, 40, 41, 42, 43, 44, 47, 51, 52, 53, 56, 60, 129, 130, 132, 133, 134

Offset

0,3

Links

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

Index entries for signature-permutations of Catalan automorphisms

Prog

(Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:)
(define (*A130370! s) (cond ((not (pair? s))) ((not (pair? (car s))) (*A069770! s)) (else (*A130370! (cdr s)) (*A074680! s))) s)

Crossrefs

Inverse: A130369. a(n) = A130371(A074686(n)) = A074686(A130375(n)). The number of cycles, number of fixed points, maximum cycle sizes and LCM's of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A130377, LEFT(A019590), A130378 and A130379.

Sequence in context: A329940 A074680 A123496 * A072090 A130365 A130933

Adjacent sequences: A130367 A130368 A130369 * A130371 A130372 A130373

Keyword

nonn

Author

Antti Karttunen, Jun 05 2007

Status

approved