Icosahedral number

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

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

References

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


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