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Fibonacci numbers which are concatenation of three Fibonacci or Lucas numbers
Punjab University Journal of MathematicsIn this note, we show that there is no Fibonacci number that can be expressed as a concatenation of three Fibonacci or Lucas numbers under a certain constraint. That is, we solve to the Diophantine equations Fn = 10d+lFm1 + 10lFm2 + Fm3 and Fn = 10d+lLm1 + 10lLm2 + Lm3 in non-negative integers (n, m1, m2, m3) with m2 ≤ m1, where d and l represent the ...
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A new family of k-Fibonacci numbers
Applied Mathematics and Computation, 2010Moawwad El-Mikkawy, Tomohiro Sogabe
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On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
Advances in Applied Clifford Algebras, 2013Cristina Flaut +2 more
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014Mahmut Akyigit +2 more
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On median nature and enumerative properties of Fibonacci-like cubes
Discrete Mathematics, 2005Sandi Klavžar
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