# Centered icosahedral number

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A centered icosahedral number is a centered figurate number that represents an icosahedron. The centered icosahedral number for a specific n is given by

${\displaystyle (2n+1)\times {(5n^{2}+5n+3) \over 3}}$

The first such numbers are 1, 13, 55, 147, 309, 561, 923, 1415, 2057, 2869, 3871, 5083, 6525, 8217, …

## References

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