Pentagonal number
A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex. For instance, the third one is formed from outlines comprising 1, 5 and 10 dots, but the 1, and 3 of the 5, coincide with 3 of the 10 – leaving 12 distinct dots, 10 in the form of a pentagon, and 2 inside.
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11000 (number)1001 (number)117 (number)12 (number)145 (number)176 (number)210 (number)22 (number)247 (number)280 (number)300 (number)35 (number)400 (number)40 (number)5500 (number)51 (number)600 (number)70 (number)75 (number)800 (number)900 (number)92 (number)Centered octahedral numberCentered pentagonal numberDivisor functionEuler functionFermat polygonal number theoremGeneralized pentagonal numberLambert seriesList of numbersList of recreational number theory topicsList of types of numbersNumber theoryOne halfPartition (number theory)Partition function (number theory)PentagonPentagonal Number
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Pentagonal number
A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex. For instance, the third one is formed from outlines comprising 1, 5 and 10 dots, but the 1, and 3 of the 5, coincide with 3 of the 10 – leaving 12 distinct dots, 10 in the form of a pentagon, and 2 inside.
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A pentagonal number is a figur ...... generalized pentagonal number.
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Een vijfhoeksgetal is een gehe ...... n-e vijfhoeksgetal is, voor :
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Eine Fünfeckszahl oder Pentago ...... ist der Pentagonalzahlensatz.
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En mathématiques, un nombre pe ...... orème des nombres pentagonaux.
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Pentagonaltal är en sorts figu ...... , , , , , … (talföljd i OEIS)
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Pětiúhelníkové číslo je v mate ...... ercových čísel na pětiúhelník.
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Um número pentagonal é um núme ...... mo pode ser exemplificado no .
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Un nombre pentagonal és un nom ...... a que tenen en comú el vèrtex.
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Un numero pentagonale è un num ...... , 5, 7, 9, 11 ,13, 15, 17, ...
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Un número pentagonal es un núm ...... pentágono, y 2 dentro de él...
@es
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A pentagonal number is a figur ...... m of a pentagon, and 2 inside.
@en
Een vijfhoeksgetal is een gehe ...... n-e vijfhoeksgetal is, voor :
@nl
Eine Fünfeckszahl oder Pentago ...... , … (Folge in OEIS) berechnen.
@de
En mathématiques, un nombre pe ...... 117 et 145 (suite de l'OEIS).
@fr
Pentagonaltal är en sorts figu ...... , , , , , … (talföljd i OEIS)
@sv
Pětiúhelníkové číslo je v mate ...... ercových čísel na pětiúhelník.
@cs
Um número pentagonal é um núme ...... eiros números pentagonais são:
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Un nombre pentagonal és un nom ...... a que tenen en comú el vèrtex.
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Un numero pentagonale è un num ...... eorema dei numeri pentagonali.
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Un número pentagonal es un núm ...... n simétricamente rotacionales.
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Fünfeckszahl
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Nombre pentagonal
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Nombre pentagonal
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Numero pentagonale
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Número pentagonal
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Número pentagonal
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Pentagonal number
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Pentagontal
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Pětiúhelníkové číslo
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Vijfhoeksgetal
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