dc.contributor.author
Abdymanapov, Sarsengali Abdygalievich
dc.contributor.author
Altynbek, Serik
dc.contributor.author
Begehr, Anton
dc.contributor.author
Begehr, Heinrich
dc.date.accessioned
2022-01-18T08:39:55Z
dc.date.available
2022-01-18T08:39:55Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/33607
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-33327
dc.description.abstract
By rewriting the relation 1+2=3 as √12+√22=√32 , a right triangle is looked at. Some geometrical observations in connection with plane parqueting lead to an inductive sequence of right triangles with √12+√22=√32 as initial one converging to the segment [0,1] of the real line. The sequence of their hypotenuses forms a sequence of real numbers which initiates some beautiful algebraic patterns. They are determined through some recurrence relations which are proper for being evaluated with computer algebra.
en
dc.format.extent
12 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Sequence of real numbers
en
dc.subject
plane parqueting
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
1,2,3, some inductive real sequences and a beautiful algebraic pattern
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1515/anly-2020-0014
dcterms.bibliographicCitation.journaltitle
Analysis
dcterms.bibliographicCitation.number
4
dcterms.bibliographicCitation.pagestart
245
dcterms.bibliographicCitation.pageend
256
dcterms.bibliographicCitation.volume
41
dcterms.bibliographicCitation.url
https://doi.org/10.1515/anly-2020-0014
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.funding
Open Access in Konsortiallizenz - de Gruyter
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2196-6753
