논문KCI 등재
EVEN-ODD BALANCING AND COBALANCING NUMBERS
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초록
In this paper, we solve the Diophantine equation 2 + 4 + · · · + 2k = (2n + 1) + (2n + 3) + · · · + (2n + 2r - 1) for k ∈ {n-1, n}. Further, we study some properties and identities involving these numbers. We also establish some relations of these numbers with Pell, associated Pell, balancing and cobalancing numbers.
Abstract
In this paper, we solve the Diophantine equation 2 + 4 + · · · + 2k = (2n + 1) + (2n + 3) + · · · + (2n + 2r - 1) for k ∈ {n-1, n}. Further, we study some properties and identities involving these numbers. We also establish some relations of these numbers with Pell, associated Pell, balancing and cobalancing numbers.
참고문헌 (14)
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- R. K. Davala, "Subbalancing Numbers", Matematika, 34(1), pp.163~1722 (2018)
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- T. Koshy, "Pell and Pell-Lucas numbers with applications" (2014), Springer
- G. K. Panda, "Cobalancing numbers and cobalancers", Int. J. Math. Math. Sci, 8, pp.1189~1200 (2005)
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- G.K. Panda, "On Sum and Ratio Formulas for Balancing Numbers", Journal of the Ind. Math. Soc, 82(3-4), pp.147~156 (2015)
- G. K. Panda, "Some links of balancing and cobalancing numbers with pell and associated pell numbers", Bull. Inst. Math. Acad. Sin. (N.S.), 6(1), pp.41~72 (2011)
- P. K. Ray, "Balancing and Cobalancing Numbers", 박사, pp.2009
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