Centered octahedral number
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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.[1] The same numbers are special cases of the Delannoy numbers, which count certain two-dimensional lattice paths.[2] The Haüy octahedral numbers are named after René Just Haüy.
Quick Facts Named after, Publication year ...
Named after | René Just Haüy |
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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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