The Fibtraction sequence (as I call it) is similar to the Fibonacci sequence except, instead of adding numbers, you subtract them.
The first few numbers of this challenge are:
1, 2, -1, 3, -4, 7, -11, 18, -29, 47, -76, 123, -199, 322, -521, 843, -1364...
The sequence starts with 1 and 2. Every next number can be calculated by subtracting the previous number from the number before it.
1 2 -1 = 1 - 2 3 = 2 - (-1) = 2 + 1 -4 = -1 - 3 7 = 3 - (-4) = 3 + 4 ...
In other words:
f(1) = 1 f(2) = 2 f(n) = f(n - 2) - f(n - 1)
This is OEIS sequence A061084.
Write a program/function that takes a positive integer n as input and prints the nth number of the Fibtraction sequence.
- Standard I/O rules apply.
- Standard loopholes are forbidden.
- Your solution can either be 0-indexed or 1-indexed but please specify which.
- This challenge is not about finding the shortest approach in all languages, rather, it is about finding the shortest approach in each language.
- Your code will be scored in bytes, usually in the encoding UTF-8, unless specified otherwise.
- Built-in functions that compute this sequence are allowed but including a solution that doesn't rely on a built-in is encouraged.
- Explanations, even for "practical" languages, are encouraged.
These are 0-indexed.
Input Output 1 2 2 -1 11 123 14 -521 21 15127 24 -64079 31 1860498
That pattern was totally not intentional. :P
Before you go pressing any buttons that do scary things, hear me out. This might be considered a dupe of the regular Fibonacci challenge and I agree, to some extent, that it should be easy enough to port solutions from there. However, the challenge is old and outdated; is severely under-specified; allows for two types of solutions; has answers that don't have easy ways to try online; and in general, is lacking of answers. Essentially, in my opinion, it doesn't serve as a good "catalogue" of solutions.
plz send teh codez