Pyramidal number: Difference between revisions
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:<math>X= \frac{3n^2 + n^3(r-2) - n(r-5)}{6}</math> |
:<math>X= \frac{3n^2 + n^3(r-2) - n(r-5)}{6}</math> |
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where '''r''' is a natural number greater or equal to 3.[[Category:Figurate numbers]] |
where '''r''' is a [[natural number]] greater or equal to 3.[[Category:Figurate numbers]] |
Revision as of 12:09, 2 September 2013
A pyramidal number is a figurate number that represents a pyramid with a base and a given number of sides. The term is most often used to refer to square pyramidal numbers, which have four sides, but it can also refer to:
- Triangular pyramidal number (three sides)
- Square pyramidal number (four sides)
- Pentagonal pyramidal number (five sides)
- Hexagonal pyramidal number (six sides)
- Heptagonal pyramidal number (seven sides)
The formula for a r-gonal pyramid number is:
where r is a natural number greater or equal to 3.