Geodesic
On representations of positive integers
Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 75-85

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The problem of representing integers as sums of terms of s certain type is actual in number theory and its applications. We are interested in the average length of these expansions and the required number of auxiliary calculations. The paper deals with DBNS, chains and the polyadic (factorial) expansions of positive integers. 
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     author = {V. G. Chirskii and V. Y. Matveev},
     title = {On representations of positive integers},
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V. G. Chirskii; V. Y. Matveev. On representations of positive integers. Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 75-85. http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a7/