Centered tetrahedral number

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Template:Short description Template:Infobox integer sequence 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.Template:R The nth centered tetrahedral number, starting at n=0 for a single dot, is:Template:R[1] Template:Bi

The first such numbers are:Template:R Template:Bi

References

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Template:Figurate numbers Template:Classes of natural numbers


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  1. Deza numbers the centered tetrahedral numbers at n=1 for a single dot, leading to a different formula.