$n$-Colour self-inverse compositions

Simple item page
dc.creatorNarang, Geetika
dc.creatorAgarwal, A K
dc.date2006-08-31
dc.date.accessioned2026-07-07T07:22:22Z
dc.date.available2026-07-07T07:22:22Z
dc.descriptionMacMahon's definition of self-inverse composition is extended to $n$-colour self-inverse composition. This introduces four new sequences which satisfy the same recurrence relation with different initial conditions like the famous Fibonacci and Lucas sequences. For these new sequences explicit formulas, recurrence relations, generating functions and a summation formula are obtained. Two new binomial identities with combinatorial meaning are also given.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0608776
dc.identifierhttp://arxiv.org/abs/math/0608776
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115635
dc.subjectCombinatorics
dc.subject05A15; 05A17, 11P81
dc.title$n$-Colour self-inverse compositions
dc.typetext

Files

Collections

arXiv