Home › Entities › infinite_sequence › Kolakoski sequence

Kolakoski sequence

infinite sequence of symbols {1,2} that is its own run-length encoding and the prototype for an infinite family of related sequences
Thing infinite_sequence Q6427013

Facts

4 properties
Instance of
infinite sequence, integer sequence, bounded sequence[2][3]
Different from
Thue–Morse sequence[5]
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
William Kolakoski[4]
🏷️ Also known as
en Kolakoski sequence en Oldenburger-Kolakoski sequence de Kolakoski-Folge de Oldenburger-Kolakoski-Folge el Ακολουθία Κολακόσκι fr suite de Kolakoski ja コーラコスキー数列 ko 콜라코스키 수열 ru Последовательность Колакоски zh Kolakoski序列
🔖 Identifiers · 6
Image (Wikimedia Commons)
Kolakoski sequence spiral.svg ↗
Freebase ID
/m/04jh8qd
MathWorld ID
KolakoskiSequence
Microsoft Academic ID (discontinued)
115757168
OEIS ID
A000002
Rosetta Code page ID
Kolakoski_sequence

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Different from 1
Thue–Morse sequence
Instance of 1
integer sequence
Maintained by WikiProject 1
WikiProject Mathematics
← Different from 1
Thue–Morse sequence
Press Enter · cited answer in seconds

Summary

Kolakoski sequence is an infinite sequence[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Kolakoski sequence. Retrieved November 4, 2026, from https://4ort.xyz/entity/kolakoski-sequence
MLA “Kolakoski sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/kolakoski-sequence.
BibTeX @misc{4ortxyz_kolakoski-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kolakoski sequence}}, year = {2026}, url = {https://4ort.xyz/entity/kolakoski-sequence}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kolakoski sequence — https://4ort.xyz/entity/kolakoski-sequence (retrieved 2026-11-04)

Canonical URL: https://4ort.xyz/entity/kolakoski-sequence · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 8w ago · VGMaintenanceBot bot · 2026-09-08 view diff on Wikidata ↗
    Different from → Thue–Morse sequence
    Instance of → —
    Maintained by WikiProject → WikiProject Mathematics
    Named after → William Kolakoski
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-add:1| */ MediaWiki page ID: 11965, Add qualifier to Rosetta Code page ID `Kolakoski_sequence`"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.