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- W2737968613 abstract "For $a,binmathbb{N}_0$, we consider $(an+b)$-color compositions of a positive integer $nu$ for which each part of size $n$ admits $an+b$ colors. We study these compositions from the enumerative point of view and give a formula for the number of $(an+b)$-color compositions of $nu$ with $k$ parts. Our formula is obtained in two different ways: 1) by means of algebraic properties of partial Bell polynomials, and 2) through a bijection to a certain family of weak compositions that we call domino compositions. We also discuss two cases when $b$ is negative and give corresponding combinatorial interpretations." @default.
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- W2737968613 date "2017-07-25" @default.
- W2737968613 modified "2023-09-23" @default.
- W2737968613 title "$(an+b)$-color compositions" @default.
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- W2737968613 hasPublicationYear "2017" @default.
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