On some combinatorial identities involving the Horadam numbers.

Authors

  • T. Goy Faculty of Mathematics and Computer Science, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, Ukraine

Keywords:

Horadam numbers, Horadam sequence, Toeplitz-Hessenberg determinant, multinomial coefficient

Abstract

On some combinatorial identities involving the Horadam numbers.

References

T. Goy, On determinants and permanents of some Toeplitz-Hessenberg matrices whose entries are Jacobsthal numbers, Eurasian Math. J. 9 (2018), no. 4, 61–67.

T. Goy, On new identities for Mersenne numbers, Appl. Math. E-Notes 18 (2018), 100–105.

T. Goy, Pell numbers identities from Toeplitz-Hessenberg determinants and permanents, Novi Sad J. Math. (accepted)

T. Goy, On some fibinomial identities, Chebyshevskyi Sbornik 19 (2018), no. 2, 56–66.

A. F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart. 3 (1965),

no. 3, 161–176.

A. F. Horadam, Generating functions for powers of a certain generalized sequence of numbers, Duke Math. J. 32 (1965), no. 3, 437–446.

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