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pyramidal number : ウィキペディア英語版
pyramidal number

A pyramidal number is a figurate number that represents a pyramid with a polygonal base and a given number of triangular sides. The term usually refers to square pyramidal numbers, which have a square base with four sides, but it can also refer to:
*Triangular pyramidal number (three sides)
*Square pyramidal number (four sides)
*Pentagonal pyramidal number (five sides)
*Hexagonal pyramidal number (six sides)
*Heptagonal pyramidal number (seven sides)
as well as to pyramids with higher numbers of sides 〔http://oeis.org/A002414〕
The formula for an ''r''-gonal pyramidal number is:
:P_n^r= \frac,
with r ∈ , r ≥ 3.
This formula can be factorized as follows:
:\beginP_n^r=\frac=\left()\left()=T_n\ \left()\end.
== References ==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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