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,

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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

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Abstract

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

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Spain

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Keywords

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

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