TY - JOUR
T1 - Common terms of k-Pell numbers and Padovan or Perrin numbers
AU - Normenyo, Benedict Vasco
AU - Rihane, Salah Eddine
AU - Togbé, Alain
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2023/4
Y1 - 2023/4
N2 - Let k≥ 2. A generalization of the well-known Pell sequence is the k-Pell sequence. For this sequence, the first k terms are 0 , … , 0 , 1 and each term afterwards is given by the linear recurrence Pn(k)=2Pn-1(k)+Pn-2(k)+⋯+Pn-k(k).In this paper, we extend the previous work (Rihane and Togbé in Ann Math Inform 54:57–71, 2021) and investigate the Padovan and Perrin numbers in the k-Pell sequence.
AB - Let k≥ 2. A generalization of the well-known Pell sequence is the k-Pell sequence. For this sequence, the first k terms are 0 , … , 0 , 1 and each term afterwards is given by the linear recurrence Pn(k)=2Pn-1(k)+Pn-2(k)+⋯+Pn-k(k).In this paper, we extend the previous work (Rihane and Togbé in Ann Math Inform 54:57–71, 2021) and investigate the Padovan and Perrin numbers in the k-Pell sequence.
UR - http://www.scopus.com/inward/record.url?scp=85142872089&partnerID=8YFLogxK
U2 - 10.1007/s40065-022-00407-8
DO - 10.1007/s40065-022-00407-8
M3 - Article
AN - SCOPUS:85142872089
SN - 2193-5343
VL - 12
SP - 219
EP - 232
JO - Arabian Journal of Mathematics
JF - Arabian Journal of Mathematics
IS - 1
ER -