Question

Writing $1+3x^2+8x^4+21x^6+\cdots$ as a power series representation

score 142 · Answer 1 · 2014-12-20 23:36:49

142

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Writing $1+3x^2+8x^4+21x^6+\cdots$ as a power series representation

Published on 20 Dec 2014 - 23:36

score 306 · Answer 2 · 2026-03-25 14:04:32

306

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Find $x$ as the given $n$th term in the Fibonacci sequence?

Published on 25 Mar 2026 - 14:04

score 739 · Answer 3 · 2026-03-25 14:08:18

739

Views

Inequality of the Fibonacci sequence and the golden ratio

Published on 25 Mar 2026 - 14:08

score 147 · Answer 4 · 2014-12-23 13:57:23

147

Views

A series for Fibonacci numbers.

Published on 23 Dec 2014 - 13:57

score 1.1k · Answer 5 · 2014-12-24 14:44:24

1.1k

Views

Prove that $F_n={n-1 \choose 0 }+{n-2 \choose 1 }+{n-3 \choose 2 }+\ldots$ where $F(n)$ is the $n$-th fibonacci number

Published on 24 Dec 2014 - 14:44

score 145 · Answer 6 · 2014-12-27 01:25:39

145

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If $f_{n-1}^2=(f_n/2)^2+h^2$ then $n=6$

Published on 27 Dec 2014 - 1:25

score 174 · Answer 7 · 2014-12-30 02:16:44

174

Views

Summation of a multiple series involving Fibonacci numbers

Published on 30 Dec 2014 - 2:16

score 1.2k · Answer 8 · 2014-12-30 21:33:59

1.2k

Views

Prove Divisibility In Fibonacci Sequence Over A Prime Number

Published on 30 Dec 2014 - 21:33

score 155 · Answer 9 · 2026-03-25 06:12:16

155

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Who First Considered This Generalization of the Fibonacci Numbers?

Published on 25 Mar 2026 - 6:12

score 247 · Answer 10 · 2019-10-03 08:05:43

247

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Calculate the value of $\frac{1}{2}+\frac{1}{4}+\frac{2}{8}+\frac{3}{16}+....+\frac{F_n}{2^n}+....$

Published on 03 Oct 2019 - 8:05

score 298 · Answer 11 · 2019-10-11 13:43:40

298

Views

Finding Fibonacci matrix's eigenvectors. But I'm algebraic disaster. stucking at calculation.

Published on 11 Oct 2019 - 13:43

score 1k · Answer 12 · 2026-03-27 05:41:46

1k

Views

Proof that the ratio between the logs of the product and LCM of the Fibonacci numbers converges to $\frac{\pi^2}{6}$

Published on 27 Mar 2026 - 5:41

score 8.7k · Answer 13 · 2019-10-12 14:46:41

8.7k

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Given a Fibonacci number , find the next Fibonacci number

Published on 12 Oct 2019 - 14:46

score 156 · Answer 14 · 2019-10-13 14:22:41

156

Views

Fastest known way to computing the $n$-th Fibonacci number?

Published on 13 Oct 2019 - 14:22

score 78 · Answer 15 · 2019-10-17 13:47:35

78

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Euler-Binet Formula in another form

Published on 17 Oct 2019 - 13:47

List Question

Writing $1+3x^2+8x^4+21x^6+\cdots$ as a power series representation

Find $x$ as the given $n$th term in the Fibonacci sequence?

Inequality of the Fibonacci sequence and the golden ratio

A series for Fibonacci numbers.

Prove that $F_n={n-1 \choose 0 }+{n-2 \choose 1 }+{n-3 \choose 2 }+\ldots$ where $F(n)$ is the $n$-th fibonacci number

If $f_{n-1}^2=(f_n/2)^2+h^2$ then $n=6$

Summation of a multiple series involving Fibonacci numbers

Prove Divisibility In Fibonacci Sequence Over A Prime Number

Who First Considered This Generalization of the Fibonacci Numbers?

Calculate the value of $\frac{1}{2}+\frac{1}{4}+\frac{2}{8}+\frac{3}{16}+....+\frac{F_n}{2^n}+....$

Finding Fibonacci matrix's eigenvectors. But I'm algebraic disaster. stucking at calculation.

Proof that the ratio between the logs of the product and LCM of the Fibonacci numbers converges to $\frac{\pi^2}{6}$

Given a Fibonacci number , find the next Fibonacci number

Fastest known way to computing the $n$-th Fibonacci number?

Euler-Binet Formula in another form

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