Results 141 to 150 of about 1,028,977 (179)
THE GRADED GENERALIZED FIBONACCI SEQUENCE AND BINET FORMULA
Far East Journal of Mathematical Sciences (FJMS), 2017 Won Sang Chung, Minji Han, Jae Yoon Kim
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Approximation of Infinite Generalized Fibonacci Sequences and Their Asymptotic Binet Formula
The Fibonacci Quarterly, 2001 Benaissa Bernoussi +3 more
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The k-Periodic Fibonacci Sequence and an Extended Binet's Formula [PDF]
Integers, 2011 AbstractIt is well known that a continued fraction is periodic if and only if it is the representation of a quadratic ...
Marcia Edson, Scott Lewis, Omer Yayenie
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Binet's formula for generalized tribonacci numbers
International Journal of Mathematical Education in Science and Technology, 2015In this note, we derive Binet's formula for the general term Tn of the generalized tribonacci sequence. This formula gives Tn explicitly as a function of the index n, the roots of the associated characteristic equation, and the initial terms T0, T1, and T2.
J. Cereceda
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Mathematics Magazine, 2004
Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
B. Sury
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Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
B. Sury
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Theory of Binet formulas for Fibonacci and Lucas p-numbers
Chaos, Solitons & Fractals, 2005 Abstract Modern natural science requires the development of new mathematical apparatus. The generalized Fibonacci numbers or Fibonacci p-numbers (p = 0, 1, 2, 3, …), which appear in the “diagonal sums” of Pascal’s triangle and are assigned in the recurrent form, are a new mathematical discovery.
Alexey Stakhov, Boris Rozin
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Factorial Binet Formula And Distributional Moment Formulation Of Generalized Fibonacci Sequences
The Fibonacci quarterly, 2004 are called the coefficients and the initial conditions of the sequence {Vn}n≥0 respectively (see [7, 12, 13, 14] for example). In the sequel we shall refer to it as a sequence of type (1.1).
Benaissa Bernoussi +2 more
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An Elementary Proof of Binet's Formula for the Gamma Function
The American Mathematical Monthly, 1999(1999). An Elementary Proof of Binet's Formula for the Gamma Function. The American Mathematical Monthly: Vol. 106, No. 2, pp. 156-158.
Z. Sasvári
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A New Generalization of Fibonacci Sequence & Extended Binet's Formula
Integers, 2009AbstractConsider the Fibonacci ...
Marcia Edson, Omer Yayenie
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Binet’s Formula for the Tribonacci Sequence
The Fibonacci Quarterly, 1982The terms of a recursive sequence are usually defined by a recurrence procedure; that is, any term is the sum of preceding terms. Such a definition might not be entirely satisfactory, because the computation of any term could require the computation of ...
W. R. Spickerman
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