Geodesic
The enumerative properties of combinatorial partition polynomials
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 3-14

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The enumerative interpretations of homogeneous Platonov polynomials and their generalizations are found. A combinatorial way of solving Schroder's fourth problem (all variants of putting elements of a set in brackets) and its generalizations are proposed. The several problems of enumerating trees are studied. Bibliogr. 6.
Keywords: combinatorial partition polynomial, rooted tree, Schroder's fourth problem. 
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A. A. Balaghura; O. V. Kuzmin. The enumerative properties of combinatorial partition polynomials. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/DA_2011_18_1_a0/