We are given integer n, we need to find n-th centered tetrahedral number.
Description: The centered tetrahedral number is a centered figurate number that represents a tetrahedron.
Tetrahedral Numbers: A number is termed as a tetrahedral number if it can be represented as a pyramid with a triangular base and three sides, called a tetrahedron. The nth tetrahedral number is the sum of the first n triangular numbers.
The first few centered tetrahedral number series are:
1, 5, 15, 35, 69, 121, 195, 295, 425, 589……………………….
Mathematical nth Term of centered tetrahedral number:
Input : n = 3 Output : 35 Input : n = 9 Output : 589
Below is the implementation of above formula.
- Centered Square Number
- Centered decagonal number
- Centered heptagonal number
- Centered pentagonal number
- Centered hexagonal number
- Centered Octahedral number
- Centered Octagonal Number
- Centered cube number
- Centered nonadecagonal number
- Centered triangular number
- Centered Hexadecagonal Number
- Centered dodecahedral number
- Centered Pentadecagonal Number
- Centered Octadecagonal Number
- Centered tridecagonal number
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