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. The first few numbers of this kind are 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 The first six rows of Pascals triangle In mathematics, Pascals triangle is a geometric arrangement of the binomial coefficients in a triangle. ...
1, 5, 15, 35, 70, 126, 210, 330, 495, 715, 1001, 1365 One redirects here. ... 5 (five) is the natural number following 4 and preceding 6. ... 15 (fifteen) is the natural number following 14 and preceding 16. ... 35 (thirty-five) is the natural number following 34 and preceding 36. ... 70 (seventy) is the natural number following 69 and preceding 71. ... 126 is the natural number following 125 and preceding 127. ... 1001 is the natural number preceding 1002 and following 1000. ...
Pentatope numbers belong in the class of figurate numbers, which can be represented as regular, discrete geometric patterns. The formula for the nth pentatopic number is: A figurate number is a number that can be represented as a regular and discrete geometric pattern (e. ...
Many, but not all, pentatope numbers are also pentagonal numbers. A pentagonal number is a figurate number that represents a pentagon. ...
Tetrahedral numbers are pyramidal numbers and are the sum of consectuive triangular numbers.
Pentatope is the name of a specific geometric figure that human beings cannot directly visualize because it does not exist as a 3-dimensional object.
PentatopeNumbers (4-tetrahedron numbers) can be found in the fifth column of Pascal`s triangle, which are of course the sum of the tetrahedral numbers....
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