On integer-sequence-based constructions of generalized Pascal triangles.
A Catalan transform and related transformations on integer sequences.
A note on a one-parameter family of Catalan-like numbers.
Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays.
Continued fractions and transformations of integer sequences.
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences.
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms.
Exponential Riordan arrays and permutation enumeration.
On the central coefficients of Bell matrices.
Some observations on the Lah and Laguerre transforms of integer sequences.
On a family of generalized Pascal triangles defined by exponential Riordan arrays.
On integer sequences associated with the cyclic and complete graphs.
A note on Krawtchouk polynomials and Riordan arrays.
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.
On a generalization of the Narayana triangle.
Notes on a family of Riordan arrays and associated integer Hankel transforms.
Meixner-type results for Riordan arrays and associated integer sequences.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
On a one-parameter family of Riordan arrays and the weight distribution of MDS codes.
Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants
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.
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