This is the signature-permutation of Catalan automorphism which is derived from nonrecursive Catalan automorphism *A123496 with the recursion schema FORK (defined in A122201). - Antti Karttunen, Oct 11 2006

(Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define *A082358! (!FORK *A123496!)) - Antti Karttunen, Oct 11 2006