Square pyramidal number
In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base. The square pyramidal numbers can be used to count number of squares in an n × n grid, or acute triangles in an odd regular polygon. They equal the sums of consecutive tetrahedral numbers, and are one-fourth of a larger tetrahedral number. The sum of two consecutive square pyramidal numbers is an octahedral number.
(2,1)-Pascal triangle1+4+9+16+10,000100,0001000 (number)105 (number)140 (number)20,0002000 (number)204 (number)237 (number)280 (number)30,000300 (number)30 (number)40,0004000 (number)55000 (number)500 (number)55 (number)6000 (number)600 (number)7000 (number)8000 (number)800 (number)9000 (number)91 (number)Beer can pyramidBernoulli numberCannonball problemDouble counting (proof technique)Ehrhart polynomialFaulhaber's formulaLiber AbaciList of integer sequencesList of recreational number theory topicsOctahedral numberPentagonal pyramidal numberPyramid number
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Square pyramidal number
In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base. The square pyramidal numbers can be used to count number of squares in an n × n grid, or acute triangles in an odd regular polygon. They equal the sums of consecutive tetrahedral numbers, and are one-fourth of a larger tetrahedral number. The sum of two consecutive square pyramidal numbers is an octahedral number.
has abstract
90* [[cn.mt 1.
* ext.]] En ma ...... de n x n.XZY...Ido d 4 minutos
@es
En arithmétique géométrique, u ...... premiers nombres carrés, est :
@fr
In mathematics, a pyramid numb ...... mbers is an octahedral number.
@en
Pyramidové číslo je číslo, jež ...... 1 = 4; = 4
* 14 – 5 = 9 ; = 9
@cs
Um número piramidal quadrado c ...... sferas, o que corresponde a: .
@pt
Un numero piramidale quadrato ...... i sfere la cui base ha lato n.
@it
Квадра́тное пирамида́льное чис ...... … (последовательность в OEIS).
@ru
في الرياضيات، عدد هرمي مربع هو ...... ولى هي : 1, 5, 14, 30 , 55 ...
@ar
四角錐数（しかくすいすう、square pyramidal ...... (=1+4+9+16), 55 (=1+4+9+16+25)
@ja
在數學中，四角錐數，或金字塔數，是一個有形數表示有多少球堆積 ...... 0（=1+4+9+16）, 55（=1+4+9+16+25）
@zh
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cs2
@en
title
Square Pyramidal Number
@en
urlname
SquarePyramidalNumber
@en
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hypernym
comment
90* [[cn.mt 1.
* ext.]] En ma ...... lhaber.TYTY..TV....TTY MTT.XiP
@es
En arithmétique géométrique, u ...... premiers nombres carrés, est :
@fr
In mathematics, a pyramid numb ...... mbers is an octahedral number.
@en
Pyramidové číslo je číslo, jež ...... 1 = 4; = 4
* 14 – 5 = 9 ; = 9
@cs
Um número piramidal quadrado c ...... sferas, o que corresponde a: .
@pt
Un numero piramidale quadrato ...... umeri piramidali quadrati sono
@it
Квадра́тное пирамида́льное чис ...... … (последовательность в OEIS).
@ru
في الرياضيات، عدد هرمي مربع هو ...... ولى هي : 1, 5, 14, 30 , 55 ...
@ar
四角錐数（しかくすいすう、square pyramidal ...... (=1+4+9+16), 55 (=1+4+9+16+25)
@ja
在數學中，四角錐數，或金字塔數，是一個有形數表示有多少球堆積 ...... 0（=1+4+9+16）, 55（=1+4+9+16+25）
@zh
label
Kvadrata piramida nombro
@eo
Nombre pyramidal carré
@fr
Numero piramidale quadrato
@it
Número piramidal cuadrado
@es
Número piramidal quadrado
@pt
Quadratische Pyramidalzahl
@de
Square pyramidal number
@en
Čtvercové pyramidové číslo
@cs
Квадратное пирамидальное число
@ru
عدد هرمي مربع
@ar