Lucas factoriangular numbers

Bir Kafle; Florian Luca; Alain Togbé

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 1, page 33-43
  • ISSN: 0862-7959

Abstract

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We show that the only Lucas numbers which are factoriangular are 1 and 2 .

How to cite

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Kafle, Bir, Luca, Florian, and Togbé, Alain. "Lucas factoriangular numbers." Mathematica Bohemica 145.1 (2020): 33-43. <http://eudml.org/doc/297343>.

@article{Kafle2020,
abstract = {We show that the only Lucas numbers which are factoriangular are $1$ and $2$.},
author = {Kafle, Bir, Luca, Florian, Togbé, Alain},
journal = {Mathematica Bohemica},
keywords = {Lucas number; factoriangular number},
language = {eng},
number = {1},
pages = {33-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lucas factoriangular numbers},
url = {http://eudml.org/doc/297343},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Kafle, Bir
AU - Luca, Florian
AU - Togbé, Alain
TI - Lucas factoriangular numbers
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 1
SP - 33
EP - 43
AB - We show that the only Lucas numbers which are factoriangular are $1$ and $2$.
LA - eng
KW - Lucas number; factoriangular number
UR - http://eudml.org/doc/297343
ER -

References

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  3. Bugeaud, Y., Luca, F., Mignotte, M., Siksek, S., 10.5802/jtnb.642, J. Théor. Nombres Bordx. 20 (2008), 555-600. (2008) Zbl1204.11030MR2523309DOI10.5802/jtnb.642
  4. Castillo, R. C., On the sum of corresponding factorials and triangular numbers: Some preliminary results, Asia Pac. J. Multidisciplinary Research 3 (2015), 5-11. (2015) 
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  7. Luca, F., Odjoumani, J., Togbé, A., Pell factoriangular numbers, (to appear) in Publ. Inst. Math. Beograd, N.S. MR3956571
  8. Ming, L., 10.1007/978-94-011-3586-3_26, Applications of Fibonacci Numbers. Vol. 4. Proc. 4th Int. Conf. on Fibonacci Numbers and Their Applications, Wake Forest University, Winston-Salem, USA, 1990 Kluwer Academic Publishers, Dordrecht (1991), 231-240 G. E. Bergun et al. (1991) Zbl0749.11016MR1193719DOI10.1007/978-94-011-3586-3_26
  9. Robbins, H., 10.2307/2308012, Am. Math. Mon. 62 (1955), 26-29. (1955) Zbl0068.05404MR0069328DOI10.2307/2308012

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