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number > natural numbers > figurate number > polyhedral number > octahedral number

Preferred term

octahedral number

Definition(s)

In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The ${\\displaystyle n}$ th octahedral number ${\\displaystyle O_{n}}$ can be obtained by the formula:

${\\displaystyle O_{n}={n(2n^{2}+1) \\over 3}.}$

The first few octahedral numbers are:

1, 6, 19, 44, 85, 146, 231, 344, 489, 670, 891 (sequence A005900 in the OEIS).

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Octahedral_number)

Broader concept(s)

polyhedral number

In other languages

nombre octaédrique

French

URI

http://data.loterre.fr/ark:/67375/PSR-F5CL35Z0-J

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