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SUMS OF BALANCING-LIKE SEQUENCES WITH BINOMIAL COEFFICIENTS

S. S. Pradhan|G. K. Panda
장전수학회 (Jangjeon Mathematical Society)|2020.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제3호|pp. 425-436|DOI 10.17777/pjms.2020.23.3.013

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참고문헌

키워드

Balancing sequencecobalancing sequencebalancing-like sequencesBino- mial sums
주제분류수학

초록

For a, b ∈ R we study some binomial sums of the form where {xn}, {yn}, {zn} and {wn} are the balancing-like, lucas balancing-like, cobalancing-like and lucas-cobalancing-like sequences respectively. Moreover, we express these sums in a dierent combinatorial way and also provide some closed form solutions of many forms of these sums.

Abstract

For a, b ∈ R we study some binomial sums of the form where {xn}, {yn}, {zn} and {wn} are the balancing-like, lucas balancing-like, cobalancing-like and lucas-cobalancing-like sequences respectively. Moreover, we express these sums in a dierent combinatorial way and also provide some closed form solutions of many forms of these sums.

참고문헌 (17)

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  11. G. K. Panda, "A class of recurrent sequences exhibiting some exciting properties of balancing numbers", Int. J. Math. Comp. Sci. Eng, 6, pp.46~ (2012)
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