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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
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Kolakoski sequence

Summary

Kolakoski sequence is an infinite sequence[1]. It draws 282 Wikipedia views per month (infinite_sequence category, ranking #2 of 2).[2]

Key Facts

  • Kolakoski sequence's instance of is recorded as infinite sequence[3].
  • Kolakoski sequence's instance of is recorded as integer sequence[4].
  • Kolakoski sequence's instance of is recorded as bounded sequence[5].
  • William Kolakoski is named after Kolakoski sequence[6].
  • Kolakoski sequence's Commons category is recorded as Kolakoski sequence[7].
  • Kolakoski sequence's different from is recorded as Thue–Morse sequence[8].
  • Kolakoski sequence's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Recorded instance of include infinite sequence[3], integer sequence[4], and bounded sequence[5].

Origins

William Kolakoski is named after Kolakoski sequence[6].

Why It Matters

Kolakoski sequence draws 282 Wikipedia views per month (infinite_sequence category, ranking #2 of 2).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10] It is known by 10 alternative names across languages and contexts.[11]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . Wikidata aliases. 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 May 3, 2026, from https://4ort.xyz/entity/kolakoski-sequence
MLA “Kolakoski sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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. 7d 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| */ [[Property:P9675]]: 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.