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14 votes
5 answers
452 views

Generate a subgroup of a free group

In group theory, the free group with \$n\$ generators can be obtained by taking \$n\$ distinct symbols (let's call them \$a, b, c ...\$ etc), along with their inverses \$ a^{-1},b^{-1},c^{-1} ...\$ . ...
emanresu A's user avatar
  • 45.1k
18 votes
20 answers
2k views

Complement an infinite list

In this challenge, we define the complement of a list of positive integers as all positive integers not included in that list. For example, the complement of the even numbers ...
emanresu A's user avatar
  • 45.1k
8 votes
33 answers
1k views

Keep elements in sequence that have a letter repeated at least 3 times

Challenge: Given the input array l with a list of strings, only keep the elements in the sequence that have a letter that's repeated at least 3 times. Like ...
U13-Forward's user avatar
  • 2,011
14 votes
35 answers
819 views

Create \$n\$ sublists with the powers of two (1, 2, 4, 8, 16...)

Challenge: Given the input number n. It should give me nested sublists of n layers with the power of two numbers for each level. ...
U13-Forward's user avatar
  • 2,011
6 votes
5 answers
903 views

What is the longest trampoline?

In this challenge we are going to consider lists of integers such that for every member \$x\$ at index \$i\$ then the indexes \$i+x\$ and \$i-x\$ have the value \$x+1\$ or are out of bounds for the ...
Wheat Wizard's user avatar
  • 101k
24 votes
31 answers
3k views

"-rot" transform

Background -rot transform (read as "minus-rot transform") is a sequence transformation I just invented. This transform is done by viewing the sequence as a stack in Forth or Factor (first ...
Bubbler's user avatar
  • 78.8k
23 votes
53 answers
2k views

Generate list of numbers and their negative counterparts

A recent SO question asks for a convenient one-liner to generate a list of numbers and their negative counterparts in Python. Given two integers \$1≤a≤b\$, generate all the integers \$x\$ such that \$...
Adám's user avatar
  • 31.2k
6 votes
6 answers
591 views

Explore a Klarner-Rado sequence [duplicate]

One of the Klarner-Rado sequences is defined as follows: the first term is \$1\$ for all subsequent terms, the following rule applies: if \$x\$ is present, so are \$2x+1\$ and \$3x+1\$ the sequence ...
maryrio7's user avatar
  • 173
27 votes
29 answers
5k views

Count the number of triangles

Given a list of positive integers, find the number of triangles we can form such that their side lengths are represented by three distinct entries of the input list. (Inspiration comes from CR.) ...
flawr's user avatar
  • 43.9k
11 votes
7 answers
365 views

Crossing sequences

Crossing Sequences Given a list of positive integers A, call it an increasing sequence if each element is greater than or equal to the previous one; and call it a ...
Chas Brown's user avatar
  • 9,767
18 votes
36 answers
2k views

Incremental Ranges!

Your task is to, given two positive integers, \$x\$ and \$n\$, return the first \$x\$ numbers in the incremental ranges sequence. The incremental range sequence first generates a range from one to \$...
sporkl's user avatar
  • 6,924
19 votes
25 answers
1k views

Get the sequence steps

Challenge Given a sequence of numbers, create a function which returns the sequence steps. Assume a sequence will be N >= 3 Sequence will repeat it steps at ...
Luis felipe De jesus Munoz's user avatar
13 votes
16 answers
895 views

Alternested numbers

Consider the array of positive integers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ... Then, concatenate them: ...
Mr. Xcoder's user avatar
  • 42.6k
8 votes
7 answers
504 views

Fill the steps (randomly)!

This is Hole-9 from The Autumn Tournament of APL CodeGolf. I am the original author of the problem there, and thus allowed to re-post it here. Given a simple (rectangular, non-jagged) Boolean array (...
Adám's user avatar
  • 31.2k
19 votes
6 answers
1k views

Kolakoski-like self-referencing sequences

This is how the Kolakoski sequence (OEIS A000002) is defined: The Kolakoski sequence is a sequence that contains 1 and 2, and ...
Erik the Outgolfer's user avatar

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