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A130370
Signature permutation of a Catalan automorphism: inverse of *A130369.
10
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
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
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 05 2007
STATUS
approved