TY - JOUR
T1 - Tribonacci numbers that are concatenations of two repdigits
AU - Ddamulira, Mahadi
N1 - Ddamulira, M. Tribonacci numbers that are concatenations of two repdigits. RACSAM 114, 203 (2020). https://doi.org/10.1007/s13398-020-00933-0
PY - 2020/10/1
Y1 - 2020/10/1
N2 - Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 0 , T
1= T
2= 1 , and T
n
+
3= T
n
+
2+ T
n
+
1+ T
n for all n≥ 0. In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.
AB - Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 0 , T
1= T
2= 1 , and T
n
+
3= T
n
+
2+ T
n
+
1+ T
n for all n≥ 0. In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.
KW - Tribonacci numbers
KW - Repdigits
KW - Linear forms in logarithms
KW - Reduction method
UR - http://www.scopus.com/inward/record.url?scp=85090083681&partnerID=8YFLogxK
U2 - 10.1007/s13398-020-00933-0
DO - 10.1007/s13398-020-00933-0
M3 - Article
SN - 1578-7303
VL - 114
JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales / Serie A, Matematicas
JF - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales / Serie A, Matematicas
IS - 4
M1 - 203
ER -