Journal of Integer Sequences, Vol. 23 (2020), Article 20.1.8

The Number of Designated Parts in Compositions with Restricted Parts

Mengmeng Liu and Andrew Yezhou Wang
School of Mathematical Sciences
University of Electronic Science and Technology of China
Chengdu 611731
P. R. China


In this paper, we study the number of designated parts in three types of compositions with restricted parts. We find new combinatorial interpretations of some known sequences, and establish two identities concerning these known sequences.

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(Concerned with sequences A006367 A010049 A029907 A102702 A239342.)

Received July 7 2019; revised version received December 30 2019. Published in Journal of Integer Sequences, December 31 2019.

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