Octagonal Number

👁 DOWNLOAD Mathematica Notebook
Download Wolfram Notebook

A polygonal number of the form 👁 O_n=n(3n-2)
. The first few are 1, 8, 21, 40, 65, 96, 133, 176, ... (OEIS A000567). The generating function for the octagonal numbers is

See also

Octagonal Heptagonal Number, Octagonal Hexagonal Number, Octagonal Pentagonal Number, Octagonal Square Number, Octagonal Triangular Number

Explore with Wolfram|Alpha

References

Sloane, N. J. A. Sequence A000567/M4493 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Octagonal Number

Cite this as:

Weisstein, Eric W. "Octagonal Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/OctagonalNumber.html

Subject classifications