Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Spain Publisher:Walter de Gruyter GmbHJournal:Integers, volume 11, pages 1-26 (issn: 1867-0652,

Copyright policy )

Authors: Brunat Blay, Josep Maria; Maureso Sánchez, Montserrat;

doi: 10.1515/integ.2011.001

handle: 2117/11871

Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles

- Summary
- Subjects
- Metrics

Abstract

AbstractWe give explicit formulae for obtaining the binary sequences which produce Steinhaus triangles and generalized Pascal triangles with rotational and dihedral symmetries.

Country

Spain

Related Organizations

Keywords

Combinatorial analysis, Classificació AMS::05 Combinatorics::05A Enumerative combinatorics, Classificació AMS::11 Number theory::11B Sequences and sets, :05 Combinatorics::05B Designs and configurations [Classificació AMS], Steinhaus triangle, :Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], rotational symmetry, symmetric binary triangles, Nombres, Symmetry, Binomial coefficients, Pascal's triangle, :11 Number theory::11B Sequences and sets [Classificació AMS], Pascal -- Triangle de, Teoria dels, Pascal triangle, Nombres, Teoria dels, Classificació AMS::05 Combinatorics::05B Designs and configurations, Other designs, configurations, Binomial coefficients; factorials; \(q\)-identities, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, Simetria (Matemàtica), :05 Combinatorics::05A Enumerative combinatorics [Classificació AMS], Factorials, binomial coefficients, combinatorial functions, dihedral symmetry, Anàlisi combinatòria

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	10
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average