Centered tetrahedral number

Centered figurate number representing a tetrahedron From Wikipedia, the free encyclopedia

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.[1] The th centered tetrahedral number, starting at for a single dot, is:[2][3]

Quick Facts Total no. of terms, Subsequence of ...
Centered tetrahedral number
Total no. of termsInfinity
Subsequence ofPolyhedral numbers
Formula
First terms1, 5, 15, 35, 69, 121, 195
OEIS index
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The first such numbers are:[1][2]

1, 5, 15, 35, 69, 121, 195, 295, 425, 589, 791, ...

References

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