Centered polyhedral number

The centered polyhedral numbers are a class of figurate numbers, each formed by a central dot, surrounded by polyhedral layers with a constant number of edges. The length of the edges increases by one in each additional layer.

Examples

 * Centered tetrahedral numbers
 * Centered cube numbers
 * Centered octahedral numbers
 * Centered dodecahedral numbers
 * Centered icosahedral numbers
 * Stella octangula numbers