Results 71 to 80 of about 847 (107)

Descending Dungeons and Iterated Base-Changing

open access: yes, 2006
For real numbers a, b> 1, let as a_b denote the result of interpreting a in base b instead of base 10. We define ``dungeons'' (as opposed to ``towers'') to be numbers of the form a_b_c_d_..._e, parenthesized either from the bottom upwards (preferred) or ...
Marc Lebrun   +5 more
core   +2 more sources

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Motzkin numbers of higher rank: Generating function and explicit expression

open access: yes, 2007
The generating function and an explicit expression is derived for the (colored) Motzkin numbers of higher rank introduced recently. Considering the special case of rank one yields the corresponding results for the conventional colored Motzkin numbers for
Mansour, Toufik   +2 more
core   +1 more source

Asymptotic Analysis of <i>q</i>-Recursive Sequences. [PDF]

open access: yesAlgorithmica, 2022
Heuberger C, Krenn D, Lipnik GF.
europepmc   +1 more source

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