Binary compositions and semi-Pell compositions
classification
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keywords
compositionssemi-pellanalogyandrewsbijectionbijectivebinarycertain
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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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