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Triangular number

The triangular numbers or triangle numbers are the sequence of positive integers that can be represented as a lattice of points arranged in an equilateral triangle. The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the second row contains two, and this…

Applications, Other properties & Formula

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Overview

Formula

Relations to other figurate numbers

Other properties

Applications

Triangular roots and tests for triangular numbers

Alternative name

Advanced semantic analysis

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Map overview Semantic statistics

Triangular number

Nodes65
Edges64
Triples31
Avg. degree1.97
Density0.030769
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Triangular number

Top relations

related to External links · 9
Triangular number → Arithmetic, EMS Press, Encyclopedia, Eric, Hypertetrahedral Polytopic Roots, Mathematics, MathWorld, Rob Hubbard, Triangular
related to Alternative name · 5
Triangular number → Although, By, Donald Knuth, Termial, Thus
has application · 4
Triangular number → Equivalently, In, The, Tn
related to Triangular roots and tests for triangular numbers · 4
Triangular number → By, Equivalently, So, Tn
related to Formula · 2
Triangular number → It, The
related to Other properties · 2
Triangular number → Faulhaber's, Triangular
related to Relations to other figurate numbers · 2
Triangular number → Most, Triangular
see also · 2
Triangular number → Doubly, PythagoreanismFactoriangular
is a · 1
Triangular number → hexagonal number

Important terminology Word statistics

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Important terminology

triangular number displaystyle numbers sum also formula square frac example tn two first nth formulas every root 10 positive one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Triangular numberis ahexagonal number0.90text
Triangular numberhas applicationThe0.60section
Triangular numberhas applicationTn0.60section
Triangular numberhas applicationIn0.60section
Triangular numberhas applicationEquivalently0.60section
Triangular numberrelated to Alternative nameBy0.60section
Triangular numberrelated to Alternative nameDonald Knuth0.60section
Triangular numberrelated to Alternative nameTermial0.60section
Triangular numberrelated to Alternative nameAlthough0.60section
Triangular numberrelated to Alternative nameThus0.60section
Triangular numberrelated to External linksArithmetic0.60section
Triangular numberrelated to External linksEncyclopedia0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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