Centered dodecahedral number

A centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific n is given by

$(2n+1)\left(5n^{2}+5n+1\right)$

The first such numbers are 1, 33, 155, 427, 909, 1661, 2743, 4215, 6137, 8569, … (sequence A005904 in the OEIS).