A WZ proof of a “curious” identity.
Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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Boyadzhiev, Khristo N. (2009)
Journal of Integer Sequences [electronic only]
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István Mező, Ayhan Dil (2009)
Open Mathematics
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In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper’s identity. A classification of second order recurrence sequences is also given with the help of this method.
Grossman, George, Tefera, Akalu, Zeleke, Aklilu (2006)
International Journal of Mathematics and Mathematical Sciences
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Lengyel, Tamás (2007)
Integers
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Ji-Cai Liu (2017)
Czechoslovak Mathematical Journal
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Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
Zudilin, W. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Prodinger, Helmut (2008)
Integers
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Chu, Wenchang, Di Claudio, Leontina Veliana (2003)
Integers
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V. Mandekić-Botteri (1986)
Matematički Vesnik
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Liu, Guodong (2009)
Abstract and Applied Analysis
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Dziemiańczuk, Maciej (2011)
Integers
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