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arXiv · 1912.11148

Binary compositions and semi-Pell compositions

William J. Keith·Augustine O. Munagi
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Abstract

In analogy with the semi-Fibonacci partitions studied recently by Andrews, we define semi-Pell compositions and semi-$m$-Pell compositions. We find that these are in bijection with certain weakly unimodal $m$-ary compositions. We give generating functions, bijective proofs, and a number of unexpected congruences for these objects.

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William J. Keith, Augustine O. Munagi. 2019-12-23. Binary compositions and semi-Pell compositions. https://arxiv.org/abs/1912.11148

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