Jordan numbers, Stirling numbers and sums of powers
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
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, Zivkovi´c numbers. ˇ 2010 Mathematics Subject Classification: 11B68, 11B73, 11B83.
Authors and Affiliations
Roman Wituła, Konrad Kaczmarek, Piotr Lorenc, Edyta Hetmaniok, Mariusz Pleszczyński
Keywords
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