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A073197
Permutation of natural numbers induced by the Catalan bijection gmA073197 acting on the parenthesizations as ordered by A014486.
5
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 10, 17, 16, 20, 11, 18, 12, 14, 19, 13, 21, 15, 22, 23, 24, 25, 26, 27, 45, 46, 44, 42, 57, 54, 43, 53, 61, 28, 29, 48, 47, 55, 30, 49, 31, 37, 38, 35, 51, 40, 63, 33, 50, 32, 58, 60, 34, 56, 39, 41, 36, 62, 52, 59, 64, 65, 66, 67, 68, 69, 70, 71
OFFSET
0,3
COMMENTS
Is there an equivalent Catalan bijection in A073200?
PROG
(Scheme function implementing this automorphism on list-structures:)
(define (gmA073197 s) (cond ((pair? s) (gmA073197 (car s)) (gmA072796! s) (gmA073197 (car s)) (gmA072797! s))) s)
CROSSREFS
Inverse permutation: A073196. The car/cdr-flipped conjugate of A073208, i.e. A073197(n) = A057163(A073208(A057163(n))). Cf. also A073194-A073199.
The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.
Sequence in context: A123498 A123502 A073209 * A084470 A026265 A073207
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 25 2002
STATUS
approved