| Pentatope Number |
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| CATEGORIES ABOUT PENTATOPE NUMBER | |
| figurate numbers | |
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1 , 5 , 15 , 35 , 70 , 126 , 210, 330, 495, 715, 1001 , 1365 with side length 5 contains 70 spheres. Each layer represents one of the first five Tetrahedral Number s. For example the bottom (green) layer has 35 spheres in total.]] Pentatope numbers belong in the class of Figurate Number s, which can be represented as regular, discrete geometric patterns. The formula for the ''n''th pentatopic number is:
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