Centered tetrahedral number
Centered tetrahedral number
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Centered tetrahedral number

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Centered tetrahedral number

In mathematics, a centered tetrahedral number is a centered figurate number that represents a tetrahedron. That is, it counts the dots in a three-dimensional dot pattern with a single dot surrounded by tetrahedral shells. The th centered tetrahedral number, starting at for a single dot, is:

The first such numbers are:

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