Converting between generalized Bell, Lah, Stirling, and Tanh numbers.
Della Riccia, Giacomo (2006)
Journal of Integer Sequences [electronic only]
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Displaying similar documents to “The Akiyama-Tanigawa transformation.”
Converting between generalized Bell, Lah, Stirling, and Tanh numbers.
Hyper-sums of powers of integers and the Akiyama-Tanigawa matrix.
Inaba, Yoshinari (2005)
Journal of Integer Sequences [electronic only]
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On a number pyramid related to the binomial, Deleham, Eulerian, MacMahon and Stirling number triangles.
Franssens, Ghislain R. (2006)
Journal of Integer Sequences [electronic only]
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Inversion of generating functions using determinants.
Chen, Kwang-Wu (2007)
Journal of Integer Sequences [electronic only]
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On integer-sequence-based constructions of generalized Pascal triangles.
Barry, Paul (2006)
Journal of Integer Sequences [electronic only]
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Some observations on the Lah and Laguerre transforms of integer sequences.
Barry, Paul (2007)
Journal of Integer Sequences [electronic only]
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Matrix transformations of integer sequences.
Kimberling, Clark (2003)
Journal of Integer Sequences [electronic only]
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A Catalan transform and related transformations on integer sequences.
Barry, Paul (2005)
Journal of Integer Sequences [electronic only]
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Some properties of associated Stirling numbers.
Zhao, Feng-Zhen (2008)
Journal of Integer Sequences [electronic only]
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On an infinite series for and its application.
Chen, Hongwei (2002)
International Journal of Mathematics and Mathematical Sciences
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Sums of reciprocals of the central binomial coefficients.
Sprugnoli, Renzo (2006)
Integers
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Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
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.
A Riordan array proof of a curious identity.
Merlini, Donatella, Sprugnoli, Renzo (2002)
Integers
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