Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Catalan's constant

In mathematics, Catalan's constant G is the alternating sum of the reciprocals of the odd square numbers: G = ∑ n = 0 ∞ ( − 1 ) n ( 2 n + 1 ) 2 = 1 1 2 − 1 3 2 + 1 5 2 − 1 7 2 + 1 9 2 − ⋯ . {\displaystyle G=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2n+1)^{2}}}={\frac {1}{1^{2}}}-{\frac {1}{3^{2}}}+{\frac {1}{5^{2}}}-{\frac {1}{7^{2}}}+{\frac…

Applications, Uses & Relation to special functions

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Catalan's constant. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Decimal
0.9159655941772190150...
Rationality
Unknown
Symbol
G

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Uses

Properties

Series representations

Integral identities

Relation to special functions

Continued fraction

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Catalan's constant

Nodes56
Edges55
Triples107
Avg. degree1.96
Density0.035714
Components1

How this topic connects Entity context

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

Catalan's constant

Top relations

related to External links · 38
Catalan's constant → Adamchik, April, Archived, August, Bradley, Catalan, Catalan's, Cite, CiteSeerX, CS1, David, EMS Press, Encyclopedia, Eric, Fee, Fredrik, Fungrim, Greg, III, Johansson
related to Further reading · 32
Catalan's constant → ACM, Adamchik, Algebraic Computation, Analysis, Anwendungen, August, Bibcode, Bradley, Catalan's, Catalan's Constant Using Ramanujan's, Computation, David, Fee, Formula, Gregory, In Watanabe, International Symposium, ISBN, ISSAC, Japan
related to Properties · 8
Catalan's constant → Catalan's, Dirichlet, However, In, It, Tanguy Rivoal, These, Wadim Zudilin
related to Series representations · 8
Catalan's constant → Apéry's, Broadhurst, Catalan, Catalan's, Karatsuba, Ramanujan, The, Using
related to Integral identities · 6
Catalan's constant → As Seán Stewart, Catalan's, If, Malmsten's, Some, There
related to Uses · 6
Catalan's constant → Borromean, Catalan's, Hamiltonian, In, It, Whitehead
related to Known digits · 3
Catalan's constant → Catalan's, The, This
related to Relation to special functions · 3
Catalan's constant → Catalan's, External, Simon Plouffe
Decimal · 1
Catalan's constant → 0.9159655941772190150...
Rationality · 1
Catalan's constant → Unknown

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

constant catalan's displaystyle series frac function citation 10 pi sum 16 left right infty catalan integral known needed log identities

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Catalan's constantDecimal0.9159655941772190150...1.00infobox
Catalan's constantRationalityUnknown1.00infobox
Catalan's constantSymbolG1.00infobox
Catalan's constantrelated to External linksAdamchik0.60section
Catalan's constantrelated to External linksVictor0.60section
Catalan's constantrelated to External linksCatalan's0.60section
Catalan's constantrelated to External linksArchived0.60section
Catalan's constantrelated to External linksRetrieved0.60section
Catalan's constantrelated to External linksJuly0.60section
Catalan's constantrelated to External linksPlouffe0.60section
Catalan's constantrelated to External linksSimon0.60section
Catalan's constantrelated to External linksIII0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.