Catalan number (Q3514): Difference between revisions

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@@ Property / named after @@
+Eugène Charles Catalan
@@ Property / named after: Eugène Charles Catalan / rank @@
+Normal rank
@@ Property / Commons category @@
+Catalan numbers
@@ Property / Commons category: Catalan numbers / rank @@
+Normal rank
@@ Property / OEIS ID @@
+A000108
@@ Property / OEIS ID: A000108 / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/01fpv4
@@ Property / Freebase ID: /m/01fpv4 / rank @@
+Normal rank
@@ Property / Freebase ID: /m/01fpv4 / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / MathWorld ID @@
+CatalanNumber
@@ Property / MathWorld ID: CatalanNumber / rank @@
+Normal rank
@@ Property / MathWorld ID: CatalanNumber / reference @@
+imported from Wikimedia project: English Wikipedia
@@ Property / GND ID @@
+1072323532
@@ Property / GND ID: 1072323532 / rank @@
+Normal rank
@@ Property / GND ID: 1072323532 / reference @@
+imported from Wikimedia project: German Wikipedia
@@ Property / JSTOR topic ID @@
+catalan-numbers
@@ Property / JSTOR topic ID: catalan-numbers / rank @@
+Normal rank
@@ Property / subclass of @@
+positive integer
@@ Property / subclass of: positive integer / rank @@
+Normal rank
@@ Property / defining formula @@
+ $C_{n}={\frac {1}{n+1}}{\binom {2n}{n}}$ 
C_n = \frac{1}{n+1}\binom{2n}{n}
@@ Property / defining formula: $C_{n}={\frac {1}{n+1}}{\binom {2n}{n}}$ / rank @@
+Normal rank
+imported from Wikimedia project: English Wikipedia
@@ Property / Rosetta Code page ID @@
+Catalan_numbers
@@ Property / Rosetta Code page ID: Catalan_numbers / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+43929256
@@ Property / Microsoft Academic ID: 43929256 / rank @@
+Normal rank
@@ Property / BNCF Thesaurus ID @@
@@ Property / BNCF Thesaurus ID: 61477 / rank @@
+Normal rank
@@ Property / nLab ID @@
+Catalan number
@@ Property / nLab ID: Catalan number / rank @@
+Normal rank
@@ Property / Library of Congress authority ID @@
+sh2008005833
@@ Property / Library of Congress authority ID: sh2008005833 / rank @@
+Normal rank
@@ Property / Library of Congress authority ID: sh2008005833 / qualifier @@
+subject named as: Catalan numbers (Mathematics)
@@ Property / Library of Congress authority ID: sh2008005833 / reference @@
+stated in: Nuovo soggettario
reference URL: https://thes.bncf.firenze.sbn.it/termine.php?id=61477
retrieved: 17 June 2021Timestamp +2021-06-17T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2021-06-17T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / National Library of Israel J9U ID @@
+987007561759805171
@@ Property / National Library of Israel J9U ID: 987007561759805171 / rank @@
+Normal rank
@@ Property / National Library of Israel J9U ID: 987007561759805171 / reference @@
+stated in: National Library of Israel
@@ Property / OpenAlex ID @@
+C43929256
@@ Property / OpenAlex ID: C43929256 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C43929256 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Encyclopedia of China (Third Edition) ID @@
@@ Property / Encyclopedia of China (Third Edition) ID: 57116 / rank @@
+Normal rank
@@ Property / NL CR AUT ID @@
+ph1202458
@@ Property / NL CR AUT ID: ph1202458 / rank @@
+Normal rank
@@ Property / NL CR AUT ID: ph1202458 / qualifier @@
+subject named as: Catalanova čísla
@@ Property / Brilliant Wiki ID @@
+catalan-numbers
@@ Property / Brilliant Wiki ID: catalan-numbers / rank @@
+Normal rank
@@ Property / ProofWiki ID @@
+Definition:Catalan_Number
@@ Property / ProofWiki ID: Definition:Catalan_Number / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $C_{n}$ 
C_n
@@ Property / in defining formula: $C_{n}$ / rank @@
+Normal rank
@@ Property / in defining formula: $C_{n}$ / qualifier @@
+symbol represents: Catalan number
@@ Property / in defining formula @@
+ ${\binom {2n}{n}}$ 
\binom{2n}n
@@ Property / in defining formula: ${\binom {2n}{n}}$ / rank @@
+Normal rank
@@ Property / in defining formula: ${\binom {2n}{n}}$ / qualifier @@
+symbol represents: central binomial coefficient
@@ Property / image @@
+Catalan 4 leaves binary tree example.svg
@@ Property / image: Catalan 4 leaves binary tree example.svg / rank @@
+Normal rank
@@ Property / discoverer or inventor @@
+Minggatu
@@ Property / discoverer or inventor: Minggatu / rank @@
+Normal rank
@@ Property / time of discovery or invention @@
+. centuryTimestamp +1800-00-00T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 100 years
Before 0
After 0
-Timestamp
++1800-00-00T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+years
 Before
 After
@@ Property / time of discovery or invention: 18. century / rank @@
+Normal rank
@@ Property / PlanetMath ID @@
+CatalanNumbers
@@ Property / PlanetMath ID: CatalanNumbers / rank @@
+Normal rank

Latest revision as of 16:03, 29 July 2024

recursive integer sequence

Language	Label	Description	Also known as
English	Catalan number	recursive integer sequence

Statements

Eugène Charles Catalan

0 references

Commons category

Catalan numbers

0 references

positive integer

0 references

defining formula

C_{n}={\frac {1}{n+1}}{\binom {2n}{n}}

1 reference

imported from Wikimedia project

English Wikipedia

in defining formula

C_{n}

symbol represents

0 references

{\binom {2n}{n}}

symbol represents

central binomial coefficient

0 references

Catalan 4 leaves binary tree example.svg
650 × 90; 5 KB

0 references

discoverer or inventor

0 references

time of discovery or invention

18. century

0 references

Identifiers

0 references

A000108

0 references

/m/01fpv4

1 reference

Freebase Data Dumps

publication date

28 October 2013

CatalanNumber

1 reference

imported from Wikimedia project

English Wikipedia

1072323532

1 reference

imported from Wikimedia project

German Wikipedia

catalan-numbers

0 references

Rosetta Code page ID

Catalan_numbers

0 references

Microsoft Academic ID

43929256

0 references

BNCF Thesaurus ID

61477

0 references

Catalan number

0 references

Library of Congress authority ID

sh2008005833

subject named as

Catalan numbers (Mathematics)

1 reference

Nuovo soggettario

https://thes.bncf.firenze.sbn.it/termine.php?id=61477

17 June 2021

National Library of Israel J9U ID

987007561759805171

1 reference

National Library of Israel

C43929256

1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

Encyclopedia of China (Third Edition) ID

57116

0 references

ph1202458

subject named as

Catalanova čísla

0 references

Brilliant Wiki ID

catalan-numbers

0 references

Definition:Catalan_Number

0 references

CatalanNumbers

0 references

Sitelinks

mathematics(0 entries)

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