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The k-generalized Fibonacci sequence F (k) n n≥2−k is the linear recurrent sequence of order k, whose first k terms are 0,. .. , 0, 1 and each term afterwards is the sum of the preceding k terms. Two or more terms of a k-generalized Fibonacci sequence are said to be in the same power of two-class if the largest odd factors of the terms are identical. In… (More)

Low-lying states of an ion-molecular D þ 2 complex in quantum rings with different and small cross-sections are analyzed. Following the adiabatic procedure, we have deduced a one-dimensional wave equation with periodic conditions, which describes low-lying levels related to the electron rotation around the symmetric axis under the Coulomb interaction with… (More)

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