On a generalization of the Narayana triangle.
Barry, Paul (2011)
Journal of Integer Sequences [electronic only]
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Barry, Paul (2011)
Journal of Integer Sequences [electronic only]
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Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
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Spivey, Michael Z., Steil, Laura L. (2006)
Journal of Integer Sequences [electronic only]
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Dougherty, Michael, French, Christopher, Saderholm, Benjamin, Qian, Wenyang (2011)
Journal of Integer Sequences [electronic only]
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Barry, Paul, Hennessy, Aoife (2009)
Journal of Integer Sequences [electronic only]
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Pan, Jiaqiang (2011)
Journal of Integer Sequences [electronic only]
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Layman, John W. (2001)
Journal of Integer Sequences [electronic only]
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Barry, Paul, Hennessy, Aoife (2011)
Journal of Integer Sequences [electronic only]
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Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)
Mathematica Balkanica New Series
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MSC 2010: 11B83, 05A19, 33C45 This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
Cvetkovic, Aleksandar, Rajković, Predrag, Ivković, Milos (2002)
Journal of Integer Sequences [electronic only]
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Marko D. Petković, Paul Barry, Predrag Rajković (2012)
Czechoslovak Mathematical Journal
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We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation...
Barry, Paul (2005)
Journal of Integer Sequences [electronic only]
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