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 has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[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 has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[2] It is known by 46 alternative names across languages and contexts.[12]

📑 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}}
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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. 20d ago · Charp238 · 2026-07-30 view diff on Wikidata ↗
    Video PascalTriangleAnimated2.gif
    Image PascalTriangleAnimated2.gif, Pascal triangle simplex numbers.svg
    "/* wbeditentity-statements-multiple-properties-update:0||2 */ Moving [[Property:P18]] to [[Property:P10]]"
  2. 5w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Described by source ['Q54640564', 'Q55100562']
    P14541 1xxckf
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  3. 12w ago · AddyLockPool · 2026-05-25 view diff on Wikidata ↗
    Described by source ['Q54640564', 'Q55100562']
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q54640564]]"
  4. 12w 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.