Geodesic
Jordan numbers, Stirling numbers and sums of powers
Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 155-166

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In the paper a new combinatorical interpretation of the Jordan numbers is presented. Binomial type formulae connecting both kinds of numbers mentioned in the title are given. The decomposition of the product of polynomial of variable n into the sums of kth powers of consecutive integers from 1 to n is also studied.
Keywords: Bernoulli numbers, binomial coefficients, Jordan numbers, Stirling numbers, Živković numbers 
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     title = {Jordan numbers, {Stirling} numbers and sums of powers},
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Wituła, Roman; Kaczmarek, Konrad; Lorenc, Piotr; Hetmaniok, Edyta; Pleszczyński, Mariusz. Jordan numbers, Stirling numbers and sums of powers. Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 155-166. http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a1/