Post History
Definition $F_{n}\left(0\right)=0$ $F_{n}\left(1\right)=1$ $F_{n}\left(x\right)=n\cdot F_{n}\left(x-1\right)+F_{n}\left(x-2\right)$ For example: $F_{1}=\left[0,1,1,2,3,5,8,13,21,34,55,89...\ri...
#2: Post edited
by
General Sebast1an
·
2021-08-15T13:13:12Z (over 2 years ago)
Ratio limits of fibonacci-like series
- # Definition
- \$F_{n}\left(0\right)=0\$
- \$F_{n}\left(1\right)=1\$
- \$F_{n}\left(x\right)=n\cdot F_{n}\left(x-1\right)+F_{n}\left(x-2\right)\$
- For example:
- \$F_{1}=\left[0,1,1,2,3,5,8,13,21,34,55,89...\right]\$
- \$F_{2}=\left[0,1,2,5,12,29,70,169,408,985...\right]\$
- \$F_{3}=\left[0,1,3,10,33,109,360,1189,3927...\right]\$
- # Challenge
- Given n, find the limit of the ratio between consecutive terms, correct to at least the first 5 decimal places.
- # Test Cases
- ```
- 1 -> 1.61803...
- 2 -> 2.41421...
- 3 -> 3.30277...
- 4 -> 4.23606...
- ```
- # Scoring
This is code-golf. Shortest answer in each language wins.
- # Definition
- \$F_{n}\left(0\right)=0\$
- \$F_{n}\left(1\right)=1\$
- \$F_{n}\left(x\right)=n\cdot F_{n}\left(x-1\right)+F_{n}\left(x-2\right)\$
- For example:
- \$F_{1}=\left[0,1,1,2,3,5,8,13,21,34,55,89...\right]\$
- \$F_{2}=\left[0,1,2,5,12,29,70,169,408,985...\right]\$
- \$F_{3}=\left[0,1,3,10,33,109,360,1189,3927...\right]\$
- # Challenge
- Given n, find the limit of the ratio between consecutive terms, correct to at least the first 5 decimal places.
- # Test Cases
- ```
- 1 -> 1.61803...
- 2 -> 2.41421...
- 3 -> 3.30277...
- 4 -> 4.23606...
- ```
- # Scoring
- This is <a class="badge is-tag">code-golf</a>. Shortest answer in each language wins.
#1: Initial revision
by
rak1507
·
2021-02-19T00:43:31Z (about 3 years ago)
Ratio limits of fibonacci-like series
# Definition
\$F_{n}\left(0\right)=0\$
\$F_{n}\left(1\right)=1\$
\$F_{n}\left(x\right)=n\cdot F_{n}\left(x-1\right)+F_{n}\left(x-2\right)\$
For example:
\$F_{1}=\left[0,1,1,2,3,5,8,13,21,34,55,89...\right]\$
\$F_{2}=\left[0,1,2,5,12,29,70,169,408,985...\right]\$
\$F_{3}=\left[0,1,3,10,33,109,360,1189,3927...\right]\$
# Challenge
Given n, find the limit of the ratio between consecutive terms, correct to at least the first 5 decimal places.
# Test Cases
```
1 -> 1.61803...
2 -> 2.41421...
3 -> 3.30277...
4 -> 4.23606...
```
# Scoring
This is code-golf. Shortest answer in each language wins.