Triangular array: Difference between revisions

Revision as of 14:37, 30 March 2023

Revision as of 18:52, 30 March 2023

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| year = 2011}}.</ref>

* [[Pascal's triangle]], whose entries are the [[binomial coefficients]]<ref>{{citation|title=Pascal's Arithmetical Triangle: The Story of a Mathematical Idea|first=A. W. F.|last=Edwards|publisher=JHU Press|year=2002|isbn=9780801869464}}.</ref>

* [[c:File:VanDam_Triangular_array_2001.jpg|VanDam's triangle]], which adds the first two digits each time starting in the bottom row from left to right.

Triangular arrays of integers in which each row is symmetric and begins and ends with 1 are sometimes called '''generalized Pascal triangles'''; examples include Pascal's triangle, the Narayana numbers, and the triangle of Eulerian numbers.<ref>{{citation