Pascal's triangle

triangular array of the binomial coefficients in mathematics
Thing triangular_array Q177051
Pascal's triangle
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Pascal's triangle

Summary

Pascal's triangle is a triangular array[1]. It draws 3,417 Wikipedia views per month (triangular_array category, ranking #1 of 3).[2]

Key Facts

  • Pascal's triangle's instance of is recorded as triangular array[3].
  • Blaise Pascal is named after Pascal's triangle[4].
  • Pascal's triangle is part of Pascal's pyramid[5].
  • Pascal's triangle's Commons category is recorded as Pascal's triangle[6].
  • Pascal's triangle comprises binomial coefficient[7].
  • Pascal's triangle comprises Fibonacci sequence[8].
  • Pascal's triangle's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Pascal's triangle's instance of is recorded as triangular array[3].

Origins

Blaise Pascal is named after Pascal's triangle[4].

Use and Application

Components include binomial coefficient[7], an integer-valued function[10] and Fibonacci sequence[8], a constant-recursive sequence[11]. Pascal's triangle is part of Pascal's pyramid[5].

Why It Matters

Pascal's triangle draws 3,417 Wikipedia views per month (triangular_array category, ranking #1 of 3).[2] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[12] It is known by 46 alternative names across languages and contexts.[13]

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.

Inline context (facts about related entities)

  1. [10] . Wikidata. wikidata.org. → on this site
  2. [11] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). Pascal's triangle. Retrieved May 3, 2026, from https://4ort.xyz/entity/pascal-s-triangle
MLA “Pascal's triangle.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pascal-s-triangle.
BibTeX @misc{4ortxyz_pascal-s-triangle_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pascal's triangle}}, year = {2026}, url = {https://4ort.xyz/entity/pascal-s-triangle}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pascal's triangle — https://4ort.xyz/entity/pascal-s-triangle (retrieved 2026-05-03)

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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. 5w ago · AddyLockPool · 2026-05-25 view diff on Wikidata ↗
    Described by source Q54640564
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q54640564]]"
  2. 5w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Instance of triangular array
    Part of Pascal's pyramid
    Maintained by wikiproject WikiProject Mathematics
    Named after Blaise Pascal
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007529588005171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.