Icosahedral number

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 (PDF), archived from the original (PDF) on 2010-03-07 


This article is issued from Wikipedia - version of the Sunday, October 04, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.