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A Parent of Binet's Formula?

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
semanticscholar   +3 more sources

The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

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
semanticscholar   +5 more sources

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
semanticscholar   +3 more sources

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Binet’s Formula for the Tribonacci Sequence

The Fibonacci Quarterly, 1982
The 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
openaire   +2 more sources