Açık Akademik Arşiv Sistemi

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  • ON PERFECT POWERS IN k-GENERALIZED PELL SEQUENCE 
    Siar, Zafer; Keskin, Refik; Oztas, Elif Segah (INST MATHEMATICS, AS CR, )
    Let k 2 and let (P(k) n )n>2-k be the k-generalized Pell sequence defined byP(k) n = 2P(k) n-1 + P(kn-2) + ... + P(k) n-kfor n 2 with initial conditionsP(k) -(k-2)= P(k-(k) -3)= ... = P(k) -1 = P0(k) = 0, P(k) 1 = 1.In ...
  • REPDIGITS IN THE BASE b AS SUMS OF FOUR BALANCING NUMBERS 
    Keskin, Refik; Erduvan, Fatih (INST MATHEMATICS, AS CR, 2021)
    The sequence of balancing numbers (B-n) is defined by the recurrence relation B-n = 6B(n-1) - Bn-2 for n >= 2 with initial conditions B-0 = 0 and B-1 = 1. B-n is called the nth balancing number. In this paper, we find all ...