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- W2558904041 abstract "It is well known that if x is a balancing number, then the positive square root of 8x2 + 1 is a Lucas-balancing number. Thus, the totality of balancing number x and Lucas-balancing number y are seen to be the positive integral solutions of the Diophantine equation 8x2 +1 = y2. In this article, we consider some Diophantine equations involving balancing and Lucas-balancing numbers and study their solutions." @default.
- W2558904041 created "2016-12-08" @default.
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- W2558904041 date "2016-12-02" @default.
- W2558904041 modified "2023-10-14" @default.
- W2558904041 title "Certain Diophantine equations involving balancing and Lucas-balancing numbers" @default.
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- W2558904041 doi "https://doi.org/10.12697/acutm.2016.20.14" @default.
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