Centered icosahedral number

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

( 2 n + 1 ) × ( 5 n 2 + 5 n + 3 ) 3

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