Linked from

The 15 pages that link to Pascal's triangle, each with the reason it gives.

• Binomial theoremRelated: Its rows list the coefficients in successive binomial expansions.

• Recurrence relationRelated: Its adjacent-entry rule is a recurrence across rows.

• Sierpiński triangleRelated: Shading odd entries in successive rows reveals the Sierpiński pattern modulo two.

• CombinationRelated: Each entry gives a combination count, and neighboring entries combine through Pascal's identity.

• Vandermonde's identityRelated: Repeated use of Pascal's recurrence yields related binomial-sum identities.

• Yang HuiRelated: Yang Hui described this arrangement centuries before it became widely known in Europe by Pascal's name.

• Triangular numberRelated: Its third diagonal contains the triangular numbers.

• Al-KarajiRelated: The coefficients it organizes also appear in the power expansions Al-Karaji studied.

• Jia XianRelated: Jia Xian's arrangement gave an early Chinese presentation of this pattern.

• History of combinatoricsRelated: Related arrays appeared in several mathematical traditions long before Pascal's name became attached.

• Zhu ShijieRelated: A version of this coefficient pattern appears in the mathematical tradition recorded by Zhu.

• Lucas's theoremRelated: Its rows modulo a prime display the repeating digit patterns explained by Lucas's theorem.