Colored compositions, invert operator and elegant compositions with the ``black tie

DOI10.1016/j.disc.2014.06.026zbMath1298.05030arXiv1409.6454OpenAlexW2058820286MaRDI QIDQ400429

Stefano Barbero, Nadir Murru, Umberto Cerruti, Marco Abrate

Publication date: 21 August 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6454

zbMATH Keywords

partitions of integerscalculation of integer sequencescolored compositions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Fibonacci colored compositions and applications ⋮ Generalized colored circular palindromic compositions

Uses Software

• OEIS

Cites Work

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• The \(m\)-colored composition poset
• Rogers-Ramanujan identities for partitions with n copies of n
• An analogue of Euler's identity and new combinatorial properties of \(n\)-colour compositions
• Some sequences of integers
• Some canonical sequences of integers
• Lattice paths and \(n\)-colour compositions
• Transforming Recurrent Sequences by Using the Binomial and Invert Operators
• Combinatorics of Compositions and Words
• \(n\)-colour compositions

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