1. R. Donaghey, “Automorphisms on Catalan trees and bracketing,” J. Combin. Theory, Ser. B., 29, No. 1, 75–90 (1980).
2. D. Callan, “A bijection on Dyck paths and its cycle structure,” Electron. J. Combin., 14, Article R28 (2007).
3. I. A. Pushkarev, “On a transformation of plane trees,” Mat. Vestnik Pedvizov i Universitetov Volgo-Vyatskogo Regiona, No. 8, 92–99 (2006).
4. I. A. Pushkarev, “The fractal rotation of fringings of plane cubic trees,” Mat. Vestnik Pedvizov I Universitetov Volgo-Vyatskogo Regiona, No. 10, 82–89 (2008).
5. http://oeis.org/A079438/ .