Search Results for: 11B65

Factorial polynomials and associated number families

Alfred Schreiber Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 170–178 DOI: 10.7546/nntdm.2024.30.1.170-178 Download PDF (195 Kb) Details Authors and affiliations Alfred Schreiber Department of Mathematics and Mathematical Education, … Continue reading

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Perfect numbers, Wieferich primes and the solutions of {2n \choose n} \equiv 2^n \bmod n

Gabriel Guedes and Ricardo Machado Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 4, Pages 705–712 DOI: 10.7546/nntdm.2023.29.4.705-712 Download PDF (302 Kb) Details Authors and affiliations Gabriel Guedes Department of Mathematics, … Continue reading

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The integrality of the Genocchi numbers obtained through a new identity and other results

Bakir Farhi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 749–757 DOI: 10.7546/nntdm.2022.28.4.749-757 Download PDF (199 Kb) Details Authors and affiliations Bakir Farhi Laboratoire de Mathématiques appliqueés, Faculté des … Continue reading

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Some equalities and binomial sums about the generalized Fibonacci number un

Yücel Türker Ulutaş and Derya Toy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 252–260 DOI: 10.7546/nntdm.2022.28.2.252-260 Download PDF (146 Kb) Details Authors and affiliations Yücel Türker Ulutaş Department … Continue reading

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Linear recurrence sequence associated to rays of negatively extended Pascal triangle

Hacène Belbachir, Abdelkader Bouyakoub and Fariza Krim Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 129—142 DOI: 10.7546/nntdm.2022.28.1.129-142 Download PDF (247 Kb) Details Authors and affiliations Hacène Belbachir USTHB, … Continue reading

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Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers

Peter J. Shiue, Shen C. Huang and Jorge E. Reyes Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 140—148 DOI: 10.7546/nntdm.2021.27.4.140-148 Download full paper: PDF, 286 Kb Details Authors … Continue reading

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An elementary unified approach to prove some identities involving Fibonacci and Lucas numbers

Moussa Benoumhani Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 62—79 DOI: 10.7546/nntdm.2021.27.4.62-79 Download full paper: PDF, 236 Kb Details Authors and affiliations Moussa Benoumhani Department of Mathematics, University … Continue reading

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A very general binomial matrix

Leo Betthauser, Ömür Deveci and Josh Hiller Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 1, Pages 125—133 DOI: 10.7546/nntdm.2021.27.1.125-133 Download full paper: PDF, 181 Kb Details Authors and affiliations Leo … Continue reading

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On algorithms for computing the sums of powers of arithmetic progressions

Peter J. Shiue, Shen C. Huang and Eric Jameson Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 4, Pages 113—121 DOI: 10.7546/nntdm.2020.26.4.113-121 Download full paper: PDF, 156 Kb Details Authors and … Continue reading

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The translated Whitney–Lah numbers: generalizations and q-analogues

Mahid M. Mangontarum Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 4, Pages 80—92 DOI: 10.7546/nntdm.2020.26.4.80-92 Download full paper: PDF, 203 Kb Details Authors and affiliations Mahid M. Mangontarum Department of … Continue reading

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