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A generating function for the diagonal \(T_{2n,n}\) in triangles

J. Integer Seq., 2015
Summary: We present techniques for obtaining a generating function for the diagonal \(T_{2n,n}\) of the triangle formed from the coefficients of a generating function \(G(x)\) raised to the power \(k\). We obtain some relations between central coefficients and coefficients of the diagonal \(T_{2n,n}\), and we also give some examples.
Dmitry V. Kruchinin   +1 more
openaire   +2 more sources

On Diagonal Triangle of Non Cyclic Quadrangle in Isotropic Plane

KoG, 2021
Marija SIMIĆ Horvath, Vladimir Volenec
exaly  

On Some Properties of Fibonacci Diagonals in Pascal's Triangle

The Fibonacci Quarterly, 1994
Charles Cassidy, Bernard R. Hodgson
openaire   +1 more source

Properties of Motzkin triangle and t-generalized Motzkin sequences

Aequationes Mathematicae, 2022
László Nemeth   +2 more
exaly  

The Diagonals of Pascal's Triangle

The American Mathematical Monthly, 1965
openaire   +1 more source

On Recurrences in Generalized Arithmetic Triangle

Mathematica Slovaca, 2023
Hacène Belbachir
exaly  

A Modified Ring Spinning System with Various Diagonal Yarn Path Offsets

Procedia Engineering, 2011
Chunping Xie, Xuzhong Su, Xinjin Liu
exaly  

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