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... > mathematical analysis > calculus > sequence > integer sequence > figurate number > polygonal number > octagonal number
number > natural numbers > figurate number > polygonal number > octagonal number

Terme préférentiel

octagonal number  

Définition

  • An octagonal number is a figurate number that gives the number of points in a certain octagonal arrangement. The octagonal number for n is given by the formula 3n2 − 2n, with n > 0. The first few octagonal numbers are
    1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936 (sequence A000567 in the OEIS)
    The octagonal number for n can also be calculated by adding the square of n to twice the (n − 1)th pronic number. Octagonal numbers consistently alternate parity. Octagonal numbers are occasionally referred to as "star numbers," though that term is more commonly used to refer to centered dodecagonal numbers.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Octagonal_number)

Concept générique

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URI

http://data.loterre.fr/ark:/67375/PSR-M5Z96M15-F

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