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, ….

Congruence Relations

 * $$CDC(n) \equiv 1 \pmod{2}$$
 * $$CDC(n) \equiv 1-n \pmod{3}$$
 * $$CDC(n) \equiv 2n+1 \pmod{3,5,6,10}$$