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Centered hexagonal number

In mathematics and combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following figures illustrate this arrangement for the first four centered hexagonal numbers:

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Explore the main themes, entities and connections around Centered hexagonal number. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Properties

Base 10PeriodBase 6N3Pyramidal numbers
9 related topics

Overview

MathematicsCombinatoricsCenteredFigurate numberHexagon
18 related topics

Applications

Segmented mirrorReflecting telescopes
2 related topics

Recurrence and generating function

Recurrence relationGenerating functionTaylor series
3 related topics

Topics to explore

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Overview

Formula

Recurrence and generating function

Properties

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Centered hexagonal number

Nodes39
Edges38
Triples15
Avg. degree1.95
Density0.051282
Components1

How this topic connects Entity context

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Centered hexagonal number

Top relations

related to Properties · 7
Centered hexagonal number → A008954, In, OEIS, That, The, This, Viewed
related to Formula · 2
Centered hexagonal number → Expressing, The
related to Recurrence and generating function · 2
Centered hexagonal number → From, The
related to Telescopes · 2
Centered hexagonal number → Many, Some
is a · 1
Centered hexagonal number → number of the form 3n2
related to Rocket pods · 1
Centered hexagonal number → Many

Important terminology Word statistics

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Important terminology

hexagonal centered numbers number follows figurate formula generating function oeis hexagon displaystyle center first sequence recurrence telescopes rocket pods cubes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Centered hexagonal numberis anumber of the form 3n20.90text
Centered hexagonal numberrelated to FormulaThe0.60section
Centered hexagonal numberrelated to FormulaExpressing0.60section
Centered hexagonal numberrelated to PropertiesIn0.60section
Centered hexagonal numberrelated to PropertiesThis0.60section
Centered hexagonal numberrelated to PropertiesA0089540.60section
Centered hexagonal numberrelated to PropertiesOEIS0.60section
Centered hexagonal numberrelated to PropertiesThe0.60section
Centered hexagonal numberrelated to PropertiesThat0.60section
Centered hexagonal numberrelated to PropertiesViewed0.60section
Centered hexagonal numberrelated to Recurrence and generating functionThe0.60section
Centered hexagonal numberrelated to Recurrence and generating functionFrom0.60section

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    Min side: 3
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