References

  1. Amrouche S., Belbachir H. Unimodality and linear recurrences associated with rays in the Delannoy triangle. Turkish J. Math. 2020, 44 (1), 118–130. doi:10.3906/mat-1811-109
  2. Amrouche S., Belbachir H. Asymmetric extension of Pascal-Delannoy triangles. Appl. Anal. Discrete Math. 2022, 16 (2), 328–349. doi:10.2298/AADM200411028A
  3. Amrouche S., Belbachir H., Ramirez J.L. Unimodality, linear recurrences and combinatorial properties associated to rays in the generalized Delannoy matrix. J. Differ. Equations Appl. 2019, 25 (8), 1200–1215. doi:10.1080/10236198.2019.1662413
  4. Belbachir H., Szalay L. Unimodal rays in the ordinary and generalized Pascal triangles. J. Integer Seq. 2008, 11 (2), article 08.2.4.
  5. Belbachir H., Komatsu T., Szalay L. Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Math. Slovaca 2014, 64 (2), 287–300. doi:10.2478/s12175-014-0203-0
  6. Carlitz L. Fibonacci notes – 3: q-Fibonacci numbers. Fibonacci Quart. 1974, 12 (4), 317–322. doi:10.1080/00150517.1974.12430696
  7. Cigler J. A new class of q-Fibonacci polynomials. Electron. J. Combin. 2003, 10 (1), 19. doi:10.37236/1712
  8. Fray R.D., Roselle D.P. Weighted lattice paths. Pacific J. Math. 1971, 37 (1), 85–96.
  9. Larcombe P.J. Horadam sequences: a survey update and extension. Bull. Inst. Comb. Appl. 2017, 80, 99–118.
  10. Larcombe P.J., Bagdasar O.D., Fennessey E.J. Horadam sequences: a survey. Bull. Inst. Comb. Appl. 2013, 67, 49–72.