Centered tetrahedral number
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| Total no. of terms | Infinity |
|---|---|
| Subsequence of | Polyhedral numbers |
| Formula | |
| First terms | 1, 5, 15, 35, 69, 121, 195 |
| OEIS index |
|
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]
The first such numbers are:[1][2]
References
[edit | edit source]- ^ a b Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ a b Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Deza numbers the centered tetrahedral numbers at for a single dot, leading to a different formula.
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