AIMS Mathematics, 2019, 4(2): 308-315. doi: 10.3934/math.2018.2.308.

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Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes

Department of Mathematics, Sambalpur University, Sambalpur-768019, India

In this article, we derive some identities involving k balancing and k-Lucas-balancing numbers of arithmetic indexes, say an + p, where a and p are some fixed integers with 0≤p≤a-1.
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Keywords balancing numbers; Lucas-balancing numbers; k-balancing numbers; k-Lucas-balancing numbers; arithmetic index

Citation: Prasanta Kumar Ray. Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes. AIMS Mathematics, 2019, 4(2): 308-315. doi: 10.3934/math.2018.2.308

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