0,3

This gatomorphism rotates binary trees left, if possible, otherwise reflects them with the gatomorphism A057163.

A. Karttunen, Gatomorphisms (with the complete Scheme source)

Index entries for signature-permutations induced by Catalan automorphisms

(Scheme functions implementing this automorphism on list-structures:)

(define (gma082335! s) (cond ((pair? s) (cond ((pair? (cdr s)) (robl! s)) (else (gma057163! s))))) s)

(define (robl! s) (let ((ex-car (car s))) (set-car! s (cddr s)) (set-cdr! (cdr s) ex-car) (swap! (cdr s)) (swap! s) s))

(define (swap! s) (let ((ex-car (car s))) (set-car! s (cdr s)) (set-cdr! s ex-car) s))

Inverse of A082336. Cf. also A074679-A074680, A082349-A082350.

Number of fixed-points: A019590. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A123695 A123499 A082349 this_sequence A074690 A122332 A074685

Adjacent sequences: A082332 A082333 A082334 this_sequence A082336 A082337 A082338

nonn

Antti Karttunen (Firstname.Surname(AT)iki.fi), Apr 17 2003