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}

@article {MR4546049,
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}

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url={https://cs.uwaterloo.ca/journals/JIS/VOL25/Speyer/speyer5.pdf},
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@misc{Stanleyuphoslide,
author={Stanley, Richard P.},
title={From Stern’s Triangle to Upper Homogeneous
Posets},
year={2020},
month= apr ,
url={https://math.mit.edu/~rstan/transparencies/stern-ml.pdf},
}

@misc{Hopkinslattice,
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      primaryClass={math.CO},
      url={https://arxiv.org/abs/2407.08013}, 
}


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 PUBLISHER = {Cambridge University Press, Cambridge},
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MRREVIEWER = {Wayne\ M.\ Dymacek},
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}

@article{STANLEY2023103814,
title = {Theorems and conjectures on some rational generating functions},
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pages = {103814},
year = {2023},
doi = {https://doi.org/10.1016/j.ejc.2023.103814},
author = {Stanley, Richard P.},

}
@article {MR4432972,
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   MRCLASS = {06A07 (05A19)},
  MRNUMBER = {4432972},
MRREVIEWER = {Kevin\ Iv\'{a}n\ Piterman},
       DOI = {10.37236/11084},
}
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}

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}
@book {MR1455373,
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 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
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  MRNUMBER = {1455373},
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@misc{stanley2021theorems,
      title={Theorems and Conjectures on Some Rational Generating Functions}, 
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      year={2021},
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      archivePrefix={arXiv},
      primaryClass={math.CO}
}

@book {MR0230102,
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@incollection {MR1110850,
    AUTHOR = {Stanley, Richard P.},
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 PUBLISHER = {New York Acad. Sci., New York},
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@book{Borodin_Olshanski_2016,
place={Cambridge},
series={Cambridge Studies in Advanced Mathematics},
title={Representations of the Infinite Symmetric Group},
publisher={Cambridge University Press},
author={Borodin, Alexei and Olshanski, Grigori},
year={2016},
collection={Cambridge Studies in Advanced Mathematics}
}

@article{edrei51,
 ISSN = {00278424, 10916490},
 URL = {http://www.jstor.org/stable/88409},
 author = {Michael Aissen and Albert Edrei and I. J. Schoenberg and Anne Whitney},
 journal = {Proceedings of the National Academy of Sciences of the United States of America},
 number = {5},
 pages = {303--307},
 publisher = {National Academy of Sciences},
 title = {On the Generating Functions of Totally Positive Sequences},
 urldate = {2024-08-12},
 volume = {37},
 year = {1951}
}

@article{salem1944power,
  title={Power series with integral coefficients},
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}