Centered tetrahedral number

A centered tetrahedral number is a centered figurate number that represents a tetrahedron. The centered tetrahedral number for a specific n is given by

( 2 n + 1 ) × ( n 2 + n + 3 ) 3

The first such numbers are 1, 5, 15, 35, 69, 121, 195, 295, 425, 589, 791, … (sequence A005894 in the OEIS).