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- W4384405297 abstract "Let $B_n$ and $C_n$ be the $n$-th balancing and Lucas-balancing numbers, respectively. We consider the Diophantine equations $ax+by=frac{1}{2}(a-1)(b-1)$ and $1+ax+by=frac{1}{2}(a-1)(b-1)$ for $(a,b)$ $in$ $ {(B_n,B_{n+1}),(B_{2n-1},B_{2n+1}), (B_n,C_n),(C_n,C_{n+1})}$ and present the non-negative integer solutions of the Diophantine equations in each case." @default.
- W4384405297 created "2023-07-16" @default.
- W4384405297 creator A5004446550 @default.
- W4384405297 date "2023-07-15" @default.
- W4384405297 modified "2023-10-05" @default.
- W4384405297 title "Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers" @default.
- W4384405297 doi "https://doi.org/10.7546/nntdm.2023.29.3.495-502" @default.
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