Centered octahedral number
Haüy construction of an octahedron by 129 cubes | |
| Named after | René Just Haüy |
|---|---|
| Publication year | 1801 |
| Total no. of terms | Infinity |
| Subsequence of | Polyhedral numbers, Delannoy numbers |
| Formula | |
| First terms | 1, 7, 25, 63, 129, 231, 377 |
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In mathematics, a centered octahedral number or Haüy octahedral number is a figurate number that counts the points of a three-dimensional integer lattice that lie inside an octahedron centered at the origin. The same numbers are special cases of the Delannoy numbers, which count certain two-dimensional lattice paths. The Haüy octahedral numbers are named after René Just Haüy.