Given a number n, find the n-th centered cube number.
The Centered cube number counts the number of points which are formed by a point that is surrounded by concentric cubical layers in 3D with i2 points on the square faces of the i-th layer. Source[WIKI]. Please see this image for more clarity.
The first few Centered cube numbers are:
1, 9, 35, 91, 189, 341, 559, 855, 1241, 172…………………………
Input : n = 1 Output : 9 Input : n = 7 Output : 855
Mathematical formula for nth centered cube number is given by:
n-th Centered Cube Number = (2n + 1)(n2 + n + 1)
Below is the basic implementation of the above formula:
3th Centered cube number: 91 10th Centered cube number: 2331
- Centered Square Number
- Centered tetrahedral number
- Centered pentagonal number
- Centered Octahedral number
- Centered hexagonal number
- Centered Dodecagonal Number
- Centered nonadecagonal number
- Centered Pentadecagonal Number
- Centered Octagonal Number
- Centered decagonal number
- Centered triangular number
- Centered heptagonal number
- Centered tridecagonal number
- Centered dodecahedral number
- Centered Octadecagonal Number
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Improved By : jit_t