OFFSET
0,3
COMMENTS
This Catalan bijection rotates the interpretations (pp)-(rr) of Stanley, using the "rising slope" mapping illustrated in A085161.
LINKS
A. Karttunen, Gatomorphisms (With the complete Scheme source)
R. P. Stanley, Exercises on Catalan and Related Numbers (including 66 combinatorial interpretations)
PROG
(Scheme functions implementing this automorphism on list-structures:)
(define (gma085159 s) (cond ((null? s) s) (else (app-to-xrt (car s) (append (cdr s) (list (list)))))))
CROSSREFS
Inverse: A085160. a(n) = A085161(A085160(A085161(n))) = A085169(A082315(A085170(n))) = A074684(A082315(A074683(n))) = A085173(A085173(n)). Occurs in A073200. Cf. also A085165-A085168, A086429. Scheme-function app-to-xrt given in A085203.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 23 2003
STATUS
approved