publication . Preprint . 2015

Remarks On General Fibonacci Numbers

Billal, Masum;
Open Access English
  • Published: 22 Feb 2015
We dedicate this paper to investigate the most generalized form of Fibonacci Sequence, one of the most studied sections of the mathematical literature. One can notice that, we have discussed even a more general form of the conventional one. Although it seems the topic in the first section has already been covered before, but we present a different proof here. Later I found out that, the auxiliary theorem used in the first section was proven and even generalized further by F. T. Howard. Thanks to Curtis Cooper for pointing out the fact that this has already been studied and providing me with references. the At first, we prove that, only the common general Fibonac...
free text keywords: Mathematics - General Mathematics, 11A25
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[1] R. D. Carmichael, On the Numerical Factors of the Arithmetic Forms an ± bn. Ann. of Math 15(1913) : 30 − 70.

[2] Curtis Cooper, Editor(Fibonacci Quarterly), Department of Mathematics and Computer Science, University of Central Missouri.

[3] Divisibility Sequence,

[4] Leonhard Euler, Euler's proof of Fermat's 4n + 1 theorem by infinite descent, Wikipedia [7] C. Levesque, On m-th Order Linear Recurrences, The Fibonacci Quarterly 23.4 (1985), 290-293. ence, New York, 2001.

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