Abstract
The minimal excludant of an integer partition, first studied prominently by Andrews and Newman from a combinatorial viewpoint, is the smallest positive integer missing from a partition. Several generalizations of this concept are being explored by mathematicians nowadays. We analogously consider the second minimal excludant of a partition and analyze its relationship with the minimal excludant. This leads us to the notion of a mex sequence and we derive two neat identities involving the number of partitions whose mex sequence has length at least .
Citation
Prabh Simrat Kaur. Meenakshi Rana. Pramod Eyyunni. "THE SECOND MINIMAL EXCLUDANT AND MEX SEQUENCES." Rocky Mountain J. Math. 54 (4) 1117 - 1130, August 2024. https://doi.org/10.1216/rmj.2024.54.1117
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