Icosahedral number

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An icosahedral number is a figurate number that represents an icosahedron. The nth icosahedral number is given by the formula

{n(5n^{2}-5n+2) \over 2}

The first such numbers are 1, 12, 48, 124, 255, 456, 742, 1128, 1629, 2260, 3036, 3972, 5083, 
 (sequence A006564 in OEIS).

References

Kim, Hyun Kwang, On Regular Polytope Numbers, archived from the original on 2010-03-07 

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