List questions from fibonacci-numbers

Published on 23 Mar 2026 - 7:30

83

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How do we use the hint to show the divisibility?

Published on 05 Nov 2018 - 18:20

240

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Fibonacci induction

Published on 07 Nov 2018 - 2:40

56

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Why $\frac{F_{n+2}}{F_{n+1}}=1+\frac{F_n}{F_{n+1}}$?

Published on 10 Nov 2018 - 17:34

632

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A conjecture about the connection between a Penrose tiling and the Fibonacci word fractal

Published on 25 Mar 2026 - 11:04

2.2k

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Prove the Fibonacci Sequence by induction (Sigma F2i+1)=F2n

Published on 11 Nov 2018 - 5:13

181

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Proof of a Well-Known Fibonacci Identity Involving Cubes of Fibonacci Numbers

Published on 22 Mar 2026 - 16:43

1.7k

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Does $a_{n}/a_{n-1}$ converge to the golden ratio for all Fibonacci-like sequences?

Published on 25 Mar 2026 - 4:42

40

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Show that $F^2_{n+2} – F^2_{n-2}$ is not a multiple of a Fibonacci number.

Published on 19 Nov 2018 - 17:58

144

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Sequence in which adding 2 produces a square

Published on 20 Nov 2018 - 17:54

625

Views

difference equation, LTI system, Z-transform, impulse response

Published on 25 Mar 2026 - 20:34

254

Views

Fibonacci sequence/recurrence relation (limits)

Published on 25 Nov 2018 - 15:07

88

Views

Show that these non-linear recursions produce integers only

Published on 25 Nov 2018 - 19:33

712

Views

A Fibonacci convolution

Published on 27 Nov 2018 - 21:50

75

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Generating function of number of assignments with constraints

Published on 29 Nov 2018 - 2:44

List Question

Does some Lucas sequence contain infinitely many primes?

How do we use the hint to show the divisibility?

Fibonacci induction

Why $\frac{F_{n+2}}{F_{n+1}}=1+\frac{F_n}{F_{n+1}}$?

A conjecture about the connection between a Penrose tiling and the Fibonacci word fractal

Prove the Fibonacci Sequence by induction (Sigma F2i+1)=F2n

Proof of a Well-Known Fibonacci Identity Involving Cubes of Fibonacci Numbers

Does $a_{n}/a_{n-1}$ converge to the golden ratio for all Fibonacci-like sequences?

Show that $F^2_{n+2} – F^2_{n-2}$ is not a multiple of a Fibonacci number.

Sequence in which adding 2 produces a square

difference equation, LTI system, Z-transform, impulse response

Fibonacci sequence/recurrence relation (limits)

Show that these non-linear recursions produce integers only

A Fibonacci convolution

Generating function of number of assignments with constraints

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