List questions from fibonacci-numbers

Published on 03 Jun 2020 - 19:13

62

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Generating function of a Fibonacci series but with certain variation.

Published on 06 Jun 2020 - 16:51

486

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How to check if a number is tribonacci number or not?

Published on 07 Jun 2020 - 7:56

130

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Mistake in the proof of Binet's formula

Published on 08 Jun 2020 - 6:54

81

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There is another function to calculate $T_n$?

Published on 11 Jun 2020 - 16:42

230

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find the nth fibonacci number where each number of is sum of last 3 numbers.

Published on 12 Jun 2020 - 6:49

1.1k

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Logic behind Pisano period

Published on 14 Jun 2020 - 4:52

55

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Generate the worst case 256-bit input for GCD

Published on 21 Jun 2020 - 19:32

339

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Find generating function for $F_{2n}$

Published on 22 Jun 2020 - 16:53

62

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Prove that $\sum_nF_{2n+1}x^n=\frac{1-x}{1-3x+x^2}$

Published on 22 Jun 2020 - 21:55

54

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Proving $\sum_{k=0}^{\infty} F_{mk}z^k=\frac{F_mz}{1-z(F_{m-1}+F_{m+1})+(-1)^mz^2}$

Published on 24 Jun 2020 - 11:46

91

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Prove that $f_{2k} \cdot f_{(2k+4)} + 1$ is a perfect square, where $f_n$ is the $n$th Fibonacci number, $n\geq0$.

Published on 25 Jun 2020 - 3:02

339

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Euclidean algorithm worst case: why never be more than five times the number of its digits (base 10)?

Published on 26 Mar 2026 - 13:02

176

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Recursive to explicit form involving Fibonacci

Published on 05 Jul 2020 - 14:05

107

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fibonacci recurrence relation proof

Published on 08 Jul 2020 - 13:16

List Question

Fibonacci Rabbit's variation

Generating function of a Fibonacci series but with certain variation.

How to check if a number is tribonacci number or not?

Mistake in the proof of Binet's formula

There is another function to calculate $T_n$?

find the nth fibonacci number where each number of is sum of last 3 numbers.

Logic behind Pisano period

Generate the worst case 256-bit input for GCD

Find generating function for $F_{2n}$

Prove that $\sum_nF_{2n+1}x^n=\frac{1-x}{1-3x+x^2}$

Proving $\sum_{k=0}^{\infty} F_{mk}z^k=\frac{F_mz}{1-z(F_{m-1}+F_{m+1})+(-1)^mz^2}$

Prove that $f_{2k} \cdot f_{(2k+4)} + 1$ is a perfect square, where $f_n$ is the $n$th Fibonacci number, $n\geq0$.

Euclidean algorithm worst case: why never be more than five times the number of its digits (base 10)?

Recursive to explicit form involving Fibonacci

fibonacci recurrence relation proof

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