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MSC 2010: 11B83, 05A19, 33C45This 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.

Displaying 1 – 7 of 7

n -color partitions with weighted differences equal to minus two.

n -words over any alphabet with forbidden any 3-subwords.

n -words over any alphabet without subword a b ⋯ b ︸ k - 1 a for fixed a , b and k .

Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities.

Note sur les coefficients du binôme de Newton

Notes on two indetities of D. D. Adamović

Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Currently displaying 1 – 7 of 7

$n$ -color partitions with weighted differences equal to minus two.

$n$ -words over any alphabet with forbidden any 3-subwords.

$n$ -words over any alphabet without subword $a \underset{k - 1}{\underset{︸}{b \dots b}} a$ for fixed $a$ , $b$ and $k$ .