Pentatope number
id:
pentatope-number-168-10276561
title:
Pentatope number
text:
In number theory, a pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1, either from left to right or from right to left. It is named because it represents the number of 3-dimensional unit spheres which can be packed into a pentatope of increasing side lengths. The first few numbers of this kind are:
- 1, 5, 15, 35, 70, 126, 210, 330, 495, 715, 1001, 1365 Pentatope numbers belong to the class of figurate numbers, which can be re
brand slug:
wiki
category slug:
encyclopedia
description:
Number in the 5th cell of any row of Pascal's triangle
original url:
https://en.wikipedia.org/wiki/Pentatope_number
date created:
2004-08-24T22:38:18Z
date modified:
2024-08-31T00:47:11Z
main entity:
{"identifier":"Q1403502","url":"https://www.wikidata.org/entity/Q1403502"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f9/Pascal_triangle_simplex_numbers.svg","width":512,"height":341}
fields total:
13
integrity:
16