On the sum of powers of two consecutive Fibonacci numbers
From MaRDI portal
Publication:632997
DOI10.3792/pjaa.86.174zbMath1222.11024OpenAlexW2048623400MaRDI QIDQ632997
Publication date: 29 March 2011
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.86.174
Related Items (20)
An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers ⋮ Terms of generalized Fibonacci sequences that are powers of their orders ⋮ On the exponential Diophantine equation \(F_{n+1}^x - F_{n-1}^x = F_m^y\) ⋮ On the sum of powers of terms of a linear recurrence sequence ⋮ The Diophantine equations \(P_n^x+P_{n+1}^y=P_m^x\) or \(P_n^y+P_{n+1}^x=P_m^x\) ⋮ Effective resolution of Diophantine equations of the form \(u_n+u_m=w p_1^{z_1} \dotsm p_s^{z_s}\) ⋮ On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\) ⋮ On a Diophantine equation involving powers of Fibonacci numbers ⋮ Linear combinations of prime powers in sums of terms of binary recurrence sequences ⋮ Unnamed Item ⋮ On the sum of squares of consecutive $k$-bonacci numbers which are $l$-bonacci numbers ⋮ An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers ⋮ An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers ⋮ On the Diophantine equation $\sum _{j=1}^kjF_j^p=F_n^q$ ⋮ On the exponential Diophantine equation \(F_{n+1}^x - F_{n-1}^x = F_m\) ⋮ An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and \(x\)-coordinates of Pell equations ⋮ On the exponential Diophantine equation Pxn+Pxn+1=Pm ⋮ Prime powers in sums of terms of binary recurrence sequences ⋮ A Diophantine equation related to the sum of powers of two consecutive generalized Fibonacci numbers ⋮ On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}
Cites Work
This page was built for publication: On the sum of powers of two consecutive Fibonacci numbers