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SUMS OF BALANCING-LIKE SEQUENCES WITH BINOMIAL COEFFICIENTS
S. S. Pradhan,G. K. Panda 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.3
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.