Centered dodecahedral number

{{Short description|Centered figurate number representing a dodecahedron}}

{{Infobox integer sequence

| number = Infinity

| parentsequence = Polyhedral numbers

| formula = $(2n+1)\backslash ,(5n^2+5n+1)$

| first_terms = 1, 33, 155, 427, 909, 1661

| OEIS = A005904

| OEIS_name = Centered dodecahedral

}}

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

:$(2n+1)\backslash left(5n^2+5n+1\backslash right)$

The first such numbers are: 1, 33, 155, 427, 909, 1661, 2743, 4215, 6137, 8569, … {{OEIS|id=A005904}}.