A determinantal expression and a recursive relation of the Delannoy numbers

Feng Qi

doi:10.2478/ausm-2021-0027

Abstract

In the paper, by a general and fundamental, but non-extensively circulated, formula for derivatives of a ratio of two differentiable functions and by a recursive relation of the Hessenberg determinant, the author finds a new determinantal expression and a new recursive relation of the Delannoy numbers. Consequently, the author derives a recursive relation for computing central Delannoy numbers in terms of related Delannoy numbers.

References

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A determinantal expression and a recursive relation of the Delannoy numbers

Abstract

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