An analogue of Euler's identity and new combinatorial properties of \(n\)-colour compositions

DOI10.1016/S0377-0427(03)00609-5zbMath1026.05008MaRDI QIDQ1414320

A. K. Agarwal

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Eulerpartition identity\(n\)-colour compositions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (11)

Counting rises and levels in \(r\)-color compositions ⋮ \(n\)-colour self-inverse compositions ⋮ A new class of lattice paths and partitions with \(n\) copies of \(n\) ⋮ Colored compositions, invert operator and elegant compositions with the ``black tie ⋮ Zig-zag graphs and partition identities of A. K. Agarwal ⋮ On the identities of modulo-\(p\) partitions ⋮ Generalized colored circular palindromic compositions ⋮ A statistic on \(n\)-color compositions and related sequences ⋮ \(n\)-colour even self-inverse compositions ⋮ Combinatorics of \(n\)-color cyclic compositions ⋮ Combinatorics of certain restricted \(n\)-color composition functions

Cites Work

• Ramanujan's ``lost notebook. IV: Stacks and alternating parity in partitions
• Rogers-Ramanujan identities for partitions with n copies of n
• \(n\)-colour compositions
• Unnamed Item
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