tetrahedral number
An integer of the form
where is a nonnegative integer. Sometimes referred to as , tetrahedral numbers are listed in A000292 of Sloane’s OEIS. except when .
With the th triangular number, the th tetrahedral number can be calculated with this formula:
Another way to calculate tetrahedral numbers is with the binomial coefficient
This means that tetrahedral numbers can be looked up in Pascal’s triangle.
Tetrahedral numbers have practical applications in sphere packing.
Title | tetrahedral number |
---|---|
Canonical name | TetrahedralNumber |
Date of creation | 2013-03-22 15:56:34 |
Last modified on | 2013-03-22 15:56:34 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 7 |
Author | PrimeFan (13766) |
Entry type | Definition |
Classification | msc 11A99 |
Synonym | triangular pyramidal number |