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Tetrahedral number
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・ Tetrahedrally diminished dodecahedron
・ Tetrahedrane
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・ Tetrahedron (journal)


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

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron. The ''n''th tetrahedral number is the sum of the first ''n'' triangular numbers.
The first ten tetrahedral numbers are:
:1, 4, 10, 20, 35, 56, 84, 120, 165, 220, …
== Formula ==

The formula for the ''n''-th tetrahedral number is represented by the 3rd rising factorial of ''n'' divided by the factorial of 3:
:T_n= =
The tetrahedral numbers can also be represented as binomial coefficients:
:T_n=.
Tetrahedral numbers can therefore be found in the fourth position either from left or right in Pascal's triangle.

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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